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Step-by-step explanation:

equation of line formula:

m = slope

c = y-intercept

1) find m

slope formula:

take 2 coordinates from the given graph and substitute the values into the slope formula

i) (-1,0)

ii) (3,2)

substitute the values into the slope formula

2) find the half equation of the line by substituting the value of m into the equation of line formula

3) find c by substituting either coordinate into the half equation

(3,2)

x = 3

y = 2

4) find equation of line by substituting the value of c into the half equation

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3