Question

Write an equation of the line the passes through (-5,8) and (-3,-8)

a. y = 8x + 32
b. y = 8x - 32
c. y = -8x + 32
d. y = -8x - 32

Answer 1

slope formula for 2 points
\[m = \frac{y _{2} - y_{1}}{x _{2} - x_{1}} = \frac{-8 - 8}{-3 - (-5)} = \frac{-16}{2} = -8\]
point-slope form:
\[y - y_{1} = m(x - x_{1})\]
\[y - 8 = -8(x-(-5))\]
\[y-8 = -8x - 40\]
\[y = -8x -32\]