The equation of a straight line through two given points 8 6. Example 1 if x is the temperature in c and y the temperature in f then there is a simple rule relating the values of x and y. Using microsoft excel program significantly simplifies the whole procedure. These straight line graphs worksheets cover questions for year 7, year 8, year 9 and year 10 working at gcse foundation and gcse higher. The slope of that line is equal to the spring constant k. Read each question carefully before you begin answering it.
If however, we take the logarithms of both sides of the equation, we get. A straight horizontal line on a speedtime graph means that speed is constant. Drawing straight line graphs worksheets questions and. Here are some simple definitions which will help you understand it clearly.
So, we could talk of a straight line graph for which as x increases, y steadily increases figure 7. Interpreting broken line graphs c answer the questions about the broken line graph. Plotting graphs of straight line equations lesson 3 1 a draw the line x 3, label the line b draw the line y 4, label the line c the lines x 3 and y 4 meet at a point. To do this, you will need to create a table of points example plot the line 2. Materials required for examination items included with question papers. The graph of each of these equations is a straight line. Draw a straight horizontal line that shows the mean rain fall for all years from 2000 to 2012. Just enter the two points below, the calculation is done live. Straight line diagrams, roadway information and traffic.
Straight line graphs, mixed exercise 5 1 a gradient 5 mxy 12, 2,111 the equation of the line is. This worksheet is designed for ks3 students as an introduction to drawing straight line graphs by generating coordinates. Yes, the axis is the vertical axis, but the line 4 is a horizontal line and yes, the axis is the horizontal axis, but the line 4 is a vertical line. T3 scotland straight line graphs page 2 of 7 straight line graphs calculator skills sheet before we can start on this topic we must first ensure that your ti83 is in the correct mode and that the stat plots are switched off, this ensures that the ti83 and is going to operate as we want it to. Also called the linear association, a linear relationship is an equation that results in a straight line when you plot it in a graph. Learn and revise how to plot coordinates and create straight line graphs to show the relationship between two variables with gcse bitesize aqa maths. Choose two convenient values for x and complete the ordered pairs for the function. Remember, do not use graph paper to help you make your sketch. For instance, motion of a block in a straight line motion of a train along a straight track a man walking on a level and narrow road and object falling under gravity etc. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Straight line graphs worksheets practice questions and.
Measuring and finding the gradient of straight lines. On the diagram below, draw the graphs of the following straight lines and label each one clearly with its equation. In statistics, this indicates that there is a straight line relationship between two data. You may be shown a straight line and asked to write the equation of that line.
Sketching straight lines this worksheet has questions about sketching straight line from a given equation of the form y mx c. Example 1 what are the coordinates of the points marked on the following grid. Figure 1 the points a and b have coordinates 6, 7 and 8, 2 respectively. Gcse revision video 20 straight line graphs youtube. This guide discusses equations which describe straight line graphs and which are also known as linear equations. What is the meaning of a straight line graph answers. It is difficult to avoid fractions in our working with this one. The automated straight line diagrams allows users to customize pages and change the attributes that are displayed on the page. If an equation can be rearranged into the form, then its graph will be a straight line. Some of the worksheets displayed are 14 straight line graphs mep y8 practice book b, mathematics linear 1ma0 straight line graphs, straight line investigation 1 work, straight line graphs f, equation of a straight line h, coordinate geometry straight line graphs part 1 ks3 and ks4, sketching straight. Line plot graphs using fractions free pdf file sharing. The easiest points to use are the \x\intercept and the \y\intercept. Worksheets on straight line graphs all questions are on a pdf with answers included. Answer parts a,b and c on the set of axes given below.
The table illustrates this rule for various values of x. People who work in professions involving maths and science commonly use graphs. In this module learners explore and analyse the characteristics of the linear function. Its horizontal distance along the x axis from the origin 0 is 2 units so the x coordinate is 2. A graph paper is defined asa printed piece of paper having straight or curved line patterns, mainly incorporating small squares known as grids for drawing or creating curves or. Find the equation of the straight line that passes through the points. Remember that the first number is the xcoordinate and the second number is the ycoordinate.
Write down the gradient of the straight line with equation. Plotting straight lines you may be given an equation and be asked to draw the line. First, it is easy to recognize a graph that is linear. Remember that the first number is the xcoordinate and the second number is the y.
Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Drawing linear graphs practice questions corbettmaths. You can see the effect of different values of m the slope and b the y intercept at explore the straight line graph. Physics notes class 11 chapter 3 motion in a straight line motion. All you need to do is carefully plot both lines, and the point where they cross is your answer, but remember you want x and y. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed.
This guide will help you learn the meaning of the two important values in the equation of a straight line. Straight line investigation 1 worksheet sharing great ideas. A collection of aqa and edexcel higher gcse questions on linear graphs. Kinematics displacement, velocity, acceleration, 1 and 2dimensional motion. It shows a wider variety of data that is not displayed on the traditional straight line diagrams which is currently provided in portable document format pdf. Aqa, ocr, edexcel gcse maths straight line graphs questions name. The term steadily is a rather informal term but it gives a good sense of what is happening. The equation of a line through the origin with a given gradient 2 3. It is difficult to determine the equation of the line from such a plot. Step one draw your table of points substitute the values into the equation see the booklet. There are two worksheets, one with positive gradients and one with negative gradients, tables and axes provided.
Physics notes class 11 chapter 3 motion in a straight. This unit of work is on straight line graphs it can be difficult to prepare resources to teach straight line graphs and can be a challenge to teach because learners find it hard to understand the connections between a graph and its equation. We are working hard on a new platform for setting, building and monitoring homework. Converting nonlinear graphs into linear graphs linear graphs have several important attributes. Algebra i can 1 plot graphs of the following plot straight line graphs a y 4 b x 2 c y x d y 2x 1 e y 6.
Apr 30, 2019 a year 9 unit of work on the following topics. Since the line passes through the points p, with coordinates x 0, y 2, and q, with. Slides in pdf one slide per page, suitable for importing into iwb software. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. Straight line graphs graphs show the relationship between two variables and are often seen in newspapers and the media. Be sure to read the labels time is plotted on the xaxis. On the diagram below, draw the graphs of the following straight lines and label each. Ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Connect the 8 data points using at straight line between the points 0 m to 1 m, 1 m to 5 m, and so on. Straight line investigation 1 fill in the table of values for the graph of. Write the expression in the column of the table that you think. Mathster is a fantastic resource for creating online and paperbased assessments and homeworks. The equation of a straight line with a given gradient, passing. Finding the best straight line fit could be quite time consuming if done with a calculator.
Follow the steps shown below to make a graph and then draw a straight line that fits your data. Mathematics linear 1ma0 straight line graphs materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. How to draw a straight line graph and show a table of values using the classpad use a graphics calculator to draw the graph of y 8. A collection of 91 maths gcse sample and specimen questions from aqa, ocr. Straight line graphs f a collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. Gcse exam questions on straight line graphs grade c 1. The coordinates of any point are written as an ordered pair x, y point p in the diagram has coordinates 2, 3.
It is much more difficult to identify if a curved graph is an exponential function, inverse function, etc. Using straight line graphs to solve simultaneous equations. After reading this text, andor viewing the video tutorial on this topic, you should be able to. Know and use the condition for 2 lines to be parallel and perpendicular. Its vertical distance along the y axis from the origin is 3 units so the y. They are available either as a lose leaf or bound together in the form of notebooks. An alternative method for plotting the straight line, as mentioned, is to do it straight from the equation. Sketching a straight line graph using the dual intercept method. There are several ways to sketch the graphs of linear functions. Speedtime graphs are also called velocitytime graphs.
It will also help you learn how to recognise equations of straight. The equation of a straight line with a given gradient, passing through a given point 7 5. Lilian baylis technology school 6 gcse exam questions on equations of the line grade b 7. The line l 1 passes through the points p1, 2 and q11, 8. Showing top 8 worksheets in the category straight line graphs. The line l passes through the point a and is perpendicular to the line ab, as shown in figure 1. Vertical lines of the form horizontal lines of the form general lines of the form. Lilian baylis technology school 1 gcse exam questions on straight line graphs grade c 1. Straight line graphs worksheets teacher worksheets. Only two points are needed to plot a straight line graph. Drawing straight line graphs worksheets questions and revision. Mini murder mystery straight ine graphs rancho high school.
Speedtime graphs look much like distancetime graphs. Steps 1 open the builtin graphs and tables application. Drawing straight line graphs revision, worksheets and practice questions can be access through this dedicated maths revision page. Check that a third value for x also gives a point on the line. If an equation can be rearranged into the form, then its graph will be a straight line in the above.
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