The only safe conclusion is that point G lies on line FH or that point G lies somewhere between line FH. We cannot conclude that point G is the midpoint of line FH eventhough by virtue of definition of midpoint, the given equation is a proof equation. If G were to be midpoint, segment FG must be equal to segment GH in line FH.
As shown in the model below, there are three lines.
Answer:
The answer is: y=2x−8
Step-by-step explanation:
Step 1: Add -8x to both sides.
8x−4y+−8x=32+−8x
−4y=−8x+32
Step 2: Divide both sides by -4.
−4y−4=−8x+32−4
y=2x−8
If you meant to write y=23x-4 then none of the lines are perpendicular.
I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.
For any line y=mx+b, you have to "invert" m to get a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.
So 2/3 becomes -3/2, hence answer D.
The 'inverted' m is called the opposite reciprocal. That's your word of the day.
