the slope intercept form is
y = mx + b
and m is the slope of the line and
b is the y-intercept.
so:
y – 2 = 5(x + 7)
first: multiply the x and 7 found inside the parentheses by 5 and you will get
y – 2 = 5x + 35
then: add the 2 to the other side of the equal sign and you are adding it because you have to change the sign when it comes to changing the place of one variable from one side to the other, thus you get:
y = 5x + 37
which is going to be your final answer, hope this helps!!!