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

Find an equation of the line that passes through the given point and has the indicated slope m Point Slope 5 7 m 13 class=

Respuesta :

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]