Question

A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)​

Answer 1

Answer:

D

Step-by-step explanation:

First find the slope.

$Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2$

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)