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Write an equation for the graph below in slope-intercept form:

Write an equation for the graph below in slope-intercept form:-example-1
User Sorskoot
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Answer: y<1x-2

Explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .

(0,-2)

(2,0) Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <

The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2

User Aminos
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