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