Question

Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3

Answer 1

Explanation:

`y - y1 = m(x - x1)`

where, m = 1/3, x1 = -5 and y1 = -7

`y -( - 7) = (1)/(3) (x - ( - 5))`

`y + 7 = (1)/(3) (x + 5)`

`y = (1)/(3) x + (5)/(3) + 7`

`y = (1)/(3) x + (26)/(3)`

`y = (1)/(3) (x + 26)`

Answer 2

y + 7 = 1/3 (x + 5)

Explanation:

The format for writing a point-slope equation is: y - y1 = m(x - x1).