Question

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

Answer 1

`y=-(1)/(4)x+\frac{9}4}`

Explanation:

Answer 2

Explanation:

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

`slope = (y_(2)-y_(1))/(x_(2)-x_(1))\\`

`= (2-3)/(1-[-3])\\\\= (-1)/(1+3)\\\\=(-1)/(4)`

m = (-1/4)

y - y₁ = m(x - x₁)

`y - 3 = (-1)/(4)(x - [-3])\\\\y - 3 = (-1)/(4) (x + 3)\\\\y - 3 = (-1)/(4)x-(3)/(4)\\\\ y = (-1)/(4)x-(3)/(4) + 3\\\\ y =(-1)/(4)x+(-3+12)/(4)\\\\ y =(-1)/(4)x+(9)/(4)`