Question

pleasee help me ASAP ITS DUE SOON

I just need to know

1. slope
2. y-intercept
3. slope intercept form

Answer 1

(-5, 2)    ⇒    x₁ = -5,  y₁ = 2

(7, -1)      ⇒    x₂ = 7,  y₂ = -1

Slope:  

$\bold{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-2}{7+5}=\dfrac{-3}{12}=-\dfrac14}$

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