Find an equation for the line that passes through the points (3,-5) and (-5,5).

y = -⁵/₄x -⁵/₄

Step-by-step explanation:

(a) Slope

The point-slope formula for a straight line is

y₂ - y₁ = m(x₂ - x₁)

The line goes through the points  (3, -5) and (-5,5).

5 – (-5) =    m(-5 – 3)

       10 = -8m

       m = -⁵/₄

(b) y-intercept

y = mx + b

Use the point (5, -5)

    -5 = -⁵/₄×5 + b

    -5 = -²⁵/₄   + b

     b = ⁵/₄

∴  y = -⁵/₄x - ⁵/₄

9x

step-by-step explanation: