First isolate the "y" in the given equation.
2y + 4x = 12 Subtract 4x on both sides
2y = 12 - 4x Divide 2 on both sides
y = 6 - 2x
You will be using the equation:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
For lines to be perpendicular, they have to have opposite slopes (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2(negative)
slope is -4/5
perpendicular line's slope is 5/4(positive)
slope is 1/2
perpendicular line's slope is -2(negative)
The given line's slope is -2, so the perpendicular line's slope is 1/2.
y = mx + b
y = 1/2x + b
To find "b", you plug in the point (8,1) into the equation
y = 1/2x + b
1 = 1/2(8) + b
1 = 4 + b
-3 = b
[tex]y = \frac{1}{2}x-3[/tex]
