The equation y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?

Question

Please help me with this question.

Answer 1

y-3=-2(x+5)

So we need to put this in slope intercept form...

y - 3 = -2x -10 (You use the distributive property)

The shift the -3 over to meet the other constant -10 by addition.

y - 3 = -2x -10

+3 + 3

y = -2x -7 since y = mx + b is in slope intercept form m = slope and b = y intercept, therefore the y intercept is -7