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=(y_2-y_1)/(x_2-x_1)=(-1-2)/(7+5)=(-3)/(12)=-\frac14}`

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