Find an equation of the line passing through the given point. Use function notation to write the equation.

Question

(-4, -2) and (-8, -3)

Answer 1

The slope is (-3 - -2) / (-8 - -4) = (-3 + 2)/(-8 + 4) = -1/-4 = 1/4

using (-4,-2)

intercept B = y - mx = -2 - (1/4)(-4) = -2 - (-1) = -2 + 1 = -1

The equation is y = f(x) = (1/4)x - 1

Note that when x=-8, (1/4)(-8) - 1 = -2 -1 = -2 + -1 = -3,

so when x=-8, then y = -3. That means (-8,-3) is a point

on the line, as given. Therefore, the answer is correct