Find the equation of a line in slope intercept form, the passes through the points (4,1) and (-3,0)

Question

 Please show work

Answer 1

Since you have two points, you may use an equation that I derived myself. I call it the Two-Point Form for the equation or a line.

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)      x₁ = 4, y₁= 1, x₂ = -3, y₂ = 0

(y - 1)/(x - 4) = (0 - 1)/(-3 - 4)

(y - 1)/(x - 4) = -1/-7        Now, cross multiply.

-7(y - 1) = -1((x - 4)

-7y + 7 = - x + 4

-7y = - x - 3

y = (1/7)x + 3/7