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:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]