Perpendicular to the line y=-3/2x–7; passes through (-3,-4)

 (in slope-intercept form)

Step-by-step explanation:

Slope intercept form of line is  y = mx + b

The line y = -3/2 x - 7 has a slope of -3/2 and y-intercept of -7

Perpendicular line will have slope that is "negative reciprocal" of this.

So perpendicular line will have a slope = 2/3

Thus, we can write:

y = 2/3 x + b  [perpendicular line equation]

To find b, we plug in -3 into x and -4 into y (point given) and find b:

Thus, perpendicular line has equation: