write the slope intercept form of the equation of the line described

Question

through:(-3,3) perpendicular to Y=-3/8x-3

Answer 1

The slope of the new line will have a slope that is the negative reciprocal of the given line: m = 8/3.

 

The next step is to determine the y-intercept with the given point of the new line.

 

3 = (8/3)(-3) + b = -8 + b

 

b = 11

 

The equation of the new line is y = (8/3)x + 11.