Question

how do your write the slope intercept form of the equation through: (-3, 1), Paralell to y=-4/3x-1?

Answer 1

y = (-4/3)x - 1 has slope -4/3.

Thus, the line parallel to it will also slope -4/3.

Using the slope formula, we have:

(y - 1) / (x + 3) = -4/3
y - 1 = (-4/3)(x + 3)
y - 1 = (-4/3)x - 4
y = (-4/3)x - 4 + 1
y = (-4/3)x - 3, which is the equation we need.