IXL | Write a linear equation from a table or a graph

Write the linear equation that gives the rule for this table.

x	y
2	1
3	2
4	3
5	4

Write your answer as an equation with y first, followed by an equals sign.

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Learn with an example

question

Look at this graph.

Write the equation for the relationship shown in the graph. Start your equation with y first, followed by an equals sign. Use whole numbers or fractions in simplest form.

key idea

The equation of a line at a 45° angle is y = x + b. The variable b is the y-coordinate where the line crosses the y-axis.

solution

The graph is a straight line at a 45° angle, so the equation is y = x + b.

Find b. Since the line crosses the y-axis at 7, b is 7.

Now plug b = 7 into the equation y = x + b.

The equation for the line in the graph is

y = x + 7

Looking for more? Try these:

Lesson: Slope-intercept form

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

AA.7Write a linear equation from a graph

CC.8Write a linear function from a table

Lesson: Slope-intercept form

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