On The Grid Draw The Graph Of Y 3x 2

On The Grid Draw The Graph Of Y 3x 2

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How to draw a graph of a linear equation

• A linear equation is drawn as a straight line on a set of axes.

• To draw the graph we need coordinates.

• We generate these coordinates by substituting values into the linear equation.

Find out how to draw a graph of a linear equation

Have a go

Click to see a step-by-step slideshow.

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YOU WILL NEED: A whiteboard. a ruler, pen and a piece of squared paper.

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STEP 1 - Draw a table of values for the x and y coordinates. Add the x coordinates 0, 1, 2, 3 and 4.

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STEP 2 - Using the equation y = 2x + 1, calculate the value of y by using the x value in the table. In this instance, x=0. Do the same for x=1, x=2, x=3 and x=4.

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STEP 3 - Draw a graph and label the x axis 1 to 4 and the y axis 1 to 9.

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STEP 4 - Plot the coordinates (0,1), (1,3), (2,5), (3,7) and (4,9).

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Step 5 - Draw a line through the coordinates plotted.

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Well done! You've drawn a line of the linear equation y = 2x + 1.

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How to draw a graph of a linear equation

A linear equation is represented as a line graph. In order to draw the line graph we require several pairs of coordinates. These coordinates represent the relationship given in the equation.

For example, for y = 3x , the y value is always equal to '3 lots' of the x value. (1,3), (10,30) and (2.5,7.5) are all coordinates on the line y = 3x.

Often a table of values is used to create the coordinates. We use substitution to calculate the values.

For example y = 2x + 1

The y value is always '2 lots' of the x value plus 1.

We replace the value of x for different numbers and record the resulting y value.

Where next?

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On The Grid Draw The Graph Of Y 3x 2

Source: https://www.bbc.co.uk/bitesize/topics/zdbc87h/articles/zkpj2nb