Question

Write an eqautions of the line thru the point (6,-3) with slope -5/3

Answer 1

Answer: y =
`(-5)/(3)x` + 7

Explanation:

Since you are given a point (6, -3) and the slope
`(-(5)/(3))`, you can use the Point-Slope formula: y - y₁ = m(x - x₁); where (x₁, y₁) is the given point and m is the slope.

y - y₁ = m(x - x₁)

y - (-3) =
`-(5)/(3)`(x - 6)

y + 3 =
`-(5)/(3)x` -
`-(5)/(3)`(6)

y + 3 =
`-(5)/(3)x` + 10

-3 -3

y =
`-(5)/(3)x` + 7