30 points. will mark brainliest What is the equation of the line in slope-intercept form?

Enter your answer in the boxes.

y = _ x + _

Step-by-step explanation:

Points as per graph:

y-intercept is 5

Slope is:

So the line is:

y = 5/2x + 5

Step-by-step explanation:

Points as per graph:

(-2, 0) and (0, 5)

y-intercept is 5

Slope is:

m = (5 - 0)/(0 - (-2)) = 5/2

So the line is:

y = 5/2x + 5

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4