(-5, 2) ⇒ x₁ = -5, y₁ = 2
(7, -1) ⇒ x₂ = 7, y₂ = -1
Slope:
[tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-2}{7+5}=\dfrac{-3}{12}=-\dfrac14}[/tex]
Slope intercept form:
y = mx + b
Plug m and (7, -1) :
-1 = -¹/₄(7) + b
-1 + ⁷/₄ = b
b = ³/₄ ← y-intercept
Therefore slope intercept form of h(x):
h(x) = -¹/₄x + ³/₄
