What is the equation of the line that goes through (-5,0) and (-4,4)

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

Simplify parentheses (two negatives make a positive) and simplify:

The slope, m, is 4. Insert this information into the equation:

Now, take one of the points and insert into the slope-intercept formula:

Solve for b, the y-intercept. Simplify multiplication:

Add 20 to both sides and simplify:

The y-intercept, b, is 20. Insert this value into the equation:

Done.

y > 1/3x

y < = -x + 4

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