How would you solve math problem in description

Write the slope intercept form of the line described. through (3,-3), perpendicular to y=x+2

1. The slope of the perpendicular line to a line is the negative reciprocal.
So, the slope of the line we are looking for is -1
2. The slope of the line is -1 and it passes through the point 3,-3, so we can retrace our way back and find that y=0 when x=0

The slope-intercept form of the line i y=-x