Slope-Intercept Equation

Question

What would be the equation that passes through the points (-4,47) and (2,-16)?

Answer 1

(47+16)/(-4-2) = -63/6 = -21/2 = (y+16)/(x-2)

y = (-21/2)(x-2) -16

y = -10.5x + 5 in slope intercept form with slope = -10.5 and y intercept = 5

or

21x + 2y = 10 in standard form