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Find the equation of the line shown in the graph.

Short Answer

Expert verified

The equation isy=43x-5.

Step by step solution

01

Step 1. Find y-intercept from the graph 

We can see that graph crossesy-axis at (0,-5).

So they-intercept is (0,b)=(0,-5).

Another point on the line is(3,-1).

02

Step 2. Find slope by counting rise and run

Slope is:

m=riserunm=43

03

Step 3. Substitute the values into the slope-intercept form

The slope-intercept form is:

y=mx+by=43x+(-5)y=43x-5

The equation of the line isy=43x-5.

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