Respuesta :

Answer:

The answer is

[tex] \huge y = \frac{5}{3} x - 4[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)\\[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (6,6) and slope 5/3

We have

[tex]y - 6 = \frac{5}{3} (x - 6) \\ y - 6 = \frac{5}{3} x - 10 \\ y = \frac{5}{3} x - 10 + 6 \\ [/tex]

We have the final answer as

[tex]y = \frac{5}{3} x - 4 \\ [/tex]

Hope this helps you