Answer:
y=5/3 x +12
Explanation:
The equation of a line is given by the following equation:
y=mx+b, where 'm' is the slope and 'b' is 'y' axis-intercept point.
We have the slope by statement (m=5/3)., we just need to find 'b'.
To do that, we can evaluate the given point (-6,2) in the equation y=mx+b.
2=5/3 * (-6) +b
2=-10+b
We need to isolate 'b' on its side of equality sign, so, we can add +10 to both sides of equality sign, and get rid of -10.
2+10=-10+10+b
b=12
Now we have our desire equation.
y=5/3 x +12, this equation is the slope - intercept form of the line