Hello!
Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
Now, we first can find the slope. We know the line is parallel to y = 2/5x - 2, and parallel lines <u>always have the same slope.</u> Therefore, we now know that the slope (or m) is 2/5. Substitute that in the equation.
y = 2/5x + b
Finally, we are given a point. We can substitute (-5, -3) into the equation, and then solve for b.
x = -5, y = -3
-3 = 2/5 (-5) + b
-3 = -2 + b
-1 = b
Now, we know what b is. Substitute this into the equation.
Therefore, y = 2/5x - 1 is our final equation.
Hope this helps!
