Question

What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?

Answer 1

Answer:

$y=-\frac{1}{4}x+\frac{9}4}$

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

(x₁ , y₁) = (3, -3) & (x₂ , y₂) = (1 , 2)

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

        $= \frac{2-3}{1-[-3]}\\\\= \frac{-1}{1+3}\\\\=\frac{-1}{4}$

m = (-1/4)

y - y₁ = m(x - x₁)

$y - 3 = \frac{-1}{4}(x - [-3])\\\\y - 3 = \frac{-1}{4} (x + 3)\\\\y - 3 = \frac{-1}{4}x-\frac{3}{4}\\\\ y = \frac{-1}{4}x-\frac{3}{4} + 3\\\\ y =\frac{-1}{4}x+\frac{-3+12}{4}\\\\ y =\frac{-1}{4}x+\frac{9}{4}$