Question

Use point-slope form to write the equation of a line that has a slope of 2/3 and passes thru (-3,-1)

Answer 1

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

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m =
`(2)/(3)` and (a, b) = (- 3, - 1), hence

y - (- 1) =
`(2)/(3)`(x - (- 3)), that is

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