Question

Point slope form to write an equation of the given line. Solve the equation for y. Please help if anyone still up!

Answer 1

Answer: y =
`(4)/(3)`x +
`(16)/(3)`or y - 4 = (
`(4)/(3)`)(x + 1)

Explanation:

Point-slope form is written as (y -
`y_1`) = m(x -
`x_1`) where m is the slope and
`(x_1,y_1)` is a point on the graph.

Given:

(y -
`y_1`) = m(x -
`x_1`)

Substitute:

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

Negative times negative is a positive:

y - 4 = (
`(4)/(3)`)(x + 1)

Add 4 to both sides and distribute the
`(4)/(3)`:

y - 4 + 4 = (
`(4)/(3)` * x +
`(4)/(3)` * 1) + 4

Simplify:

y =
`(4)/(3)`x +
`(4)/(3)` + 4

Combine like terms:

y = 1
`(1)/(3)`x + 5
`(1)/(3)` or y =
`(4)/(3)`x +
`(16)/(3)`or y =
`(4)/(3)`x + 5.333