What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?

Answer 1

Or, pick either point.

y - y₁ = m(x - x₁)

y - 47 = (-21/2)(x - (-4))

y - 47 = (-21/2)x - 42

y = (-21/2)x + 5

Answer 2

slope = m = (47+16)/(-4-2) = -63/6 = -21/2

y=mx + b

y = -21x/2 + b

-16 = -21(2)/2 + b

-16 = -21+ b

b = 21-16 = 5

y=(-21/2)x + 5 or

y= -10.5x + 5