Answer:
Step-by-step explanation:
We'll use the slope formula as soon as we figure out the coordinates to plug into it! At x = -4, the y value there is 4; the coordinate is (-4, 4). At x = 1, the y value there is -1; the coordinate is (1, -1). Plugging into the slope formula:
If you didn't pick up this, the "average rate of change" is the same exact thing as the slope. It's -1.
(2/5)(x-2)=4x
multily both sides by 5/2 (2/5 times 5/2=10/10=1)
1(x-2)=20x/2
x-2=10x
minus x both sides
-2=9x
divide 9
-2/9=x
Two lines are parallel if they have the same slope. Two likes are perpendicular if they have opposite reciprocal slopes.
-3x + 7y = 5
7y = 3x +5
slope = 3/7
3y = -7x +15
Slope = -7/3
So, these lines are perpendicular.
Hope this helps!