Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form. (negative 9−9,77), (66,22) what is the point-slope form of the equation of the line?

First we find the slope by using ur points and the slope formula : (y2 - y1) / (x2 - x1)

(-9,7),(6,2)
slope = (2 - 7) / (6 - (-9) = -5 / (6 + 9) = -5 / 15 = - 1/3

now we use point slope formula : y - y1 = m(x - x1)there can be 2 answers for this...I will do both

y - y1 = m(x - x1)
slope(m) = -1/3
using points (-9,7)x1 = -9 and y1 = 7
now sub
y - 7 = -1/3(x - (-9)...not done yet
y - 7 = -1/3(x + 9) <== this is one answer

y - y1 = m(x - x1)
slope(m) = -1/3
using points (6,2)x1 = 6 and y1 = 2
now sub
y - 2 = -1/3(x - 6) <=== this is the other answer

as far as ur slope intercept form, u can use either of ur point slope forms because the answer will be the same

y - 2 = -1/3(x - 6)
y - 2 = -1/3x + 2
y = -1/3x + 2 + 2
y = -1/3x + 4 < slope intercept form