The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
All you have to do is plug in the number for x, and find y. I will write this out as if in that chart you have shown.
x y = 9 - 3x y
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0 y = 9 - 3(0) 9
1 y = 9 - 3(1) 6
2 y = 9 - 3(2) 3
3 y = 9 - 3(3) 0
Hope that helps!!
First distribute the negative through the parenthesis on the left and the 2 on the right.
-5 -15y +1 = 14y -32 - y
Combine like terms on the right and left
-4 -15y = 13y -32
Now move the variables to one side and the constants to the other.
Subtract 13y from both sides
-4 -28y = -32
Add 4 to both sides
-28y = -28
Divide both sides by -28
y = 1
