m is the slope so we know that the slope of this line is -2/3.
Also two lines are perpendicular, their slopes have a special relationship as shown below: m1 = -1/m2 (this means negative reciprocal)
Now, since the slope of the line perpendicular to y = -2/3x + 2 is equal to m = -1/(-2/3) = 3/2 also there’s a point this line passes through, (-4, 1) so you can easily find its equation y = mx + b 1 = 3/2*(-4) + b (plugged in the values for x and y to solve for b, the y-intercept) 1 = -6 + b b = 7 y = 3/2x + 7
