Write the equation of the line that passes through the points (9,0) and (0,-6)

Answer 1

First find the slope = rise/run = y₂ - y₁/x₂ - x₁ 

m = (-6 - 0)/(0 - 9) = -6/-9 = 2/3

Now we can substitute in the slope and either point to find b = y-intercept and write the equation:

y = mx + b

0 = 2/3(9) + b

0 = 6 + b

-6 = b

The equation is y = 2/3x -6.