Question

Write the equation of the line that passes through the points (-9, -7)
and (-4,4). Put your answer in fully reduced point-slope form, unless
it is a vertical or horizontal line.

Answer 1

Answer: y= (11/5)x+(64/5) or y=(11x+64)/5

Step-by-step explanation:

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

x1= -9, x2= -4

y1= -7, y2= 4

(y-(-7))/(x-(-9))=(4-(-7))/(-4-(-9))

(y+7)/(x+9)=(4+7)/(-4+9)

(y+7)/(x+9)=11/5

Cross multiply

5(y+7)=11(x+9)

5y+35=11x+99

5y=11x+99-35

5y=11x+64

y=(11x+64)/5

y=(11/5)x+(64/5)