Answer:
y = -3/2x +10
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +b
The slope is 2/3
We want a line perpendicular
Slopes of perpendicular lines multiply to -1
m * 2/3 = -1
Multiply by 3/2
m * 2/3 * 3/2 = -1 * 3/2
m = -3/2
The slope of the perpendicular line is -3/2
We have the slope and a point (4,4)
y = -3/2 x +b
4 = -3/2(4) +b
4 = -6+b
Add 6 to each side
4+6 = -6+6+b
10 =b
y = -3/2x +10
