What is the equation of the line through (3,-8)and (6,-4

Answer 1

So to solve for the formula of y = mx + b, we need to find the values of m and b. To find the slope (m), we need to use the slope formula:

(y₂ - y₁) / (x₂ - x₁) (^{the values of the rise} / _{the values of the run})

(-4 - -8) / (6 - 3)

(-4 + 8) / (6 - 3) = ⁴/₃

Now to find b, we can place a point into the slope-intercept formula and isolate:

-8 = ⁴/₃ * 3 + b

-8 = 4 + b

Subtract 4 from both sides:

-8 - 4 = 4 + b - 4

-12 = b

So the final equation is going to be:

y = ⁴/₃ x -12