Question

Write the standard form of the equation of the line through the given point with the given slope. Simplify as much as possible.

Point: (−1,0)

Slope: −2/3

Answer 1

`y =-(2)/(3) x - (2)/(3)`

Explanation:

Equation of line in point slope form is given as

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

Here

m=-2/3 and
`(x_1, y_1)=(-1, 0)`

Equation of the line passing through the point (-1, 0) with slope -2/3 is

`y-0=-(2)/(3) (x-(-1))`

`y =-(2)/(3) (x+1)`

`y =-(2)/(3) x - (2)/(3)`

Answer 2

y = -2/3x - 1

Explanation: