Answer:
y = - 2 x
Explanation:
The catch to this one (and there is a catch) is that the y intercept is at 0,0.
All you need is the slope and that means you have to solve the equation for y
2y = 4x - 6y + 4 Add 6y to both sides
2y + 6y = 4x + 4 Combine terms on the left
8y = 4x + 4 Divide by 8
y = 4x/8 + 4/8 Reduce 4/8 to 1/2
y = 4x/8 + 1/2
y = 1/2 x + 1/2
Nowyou are all set to answer the question.
m1 * m2 = - 1
m1 = 1/2 because the coefficient in front of the x is the slope (5/8 in this case). m1 and m2 are both slopes.
1 /2 * m2 = - 1 multiply both sides by 2
(1/2)*(2)*m2 = -1 * (2)
m2 = - 2
The slope of the equation you want is - 2
y = -2 x is the answer
The graph below shows the two equations.