Answer:
Explanation:
Lets assume that 2x 4y=3 is supposed to read 2x + 4y=3.
Lets rewrite the given equation in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is zero).
2x + 4y = 3
4y = -2x + 3
y = -(1/2)x + (3/4)
Lets call this line L. We'll say the new line is P
Any line perpendicular to L will have a slope that is the negative inverse of the reference line (L).
In this case, the negative inverse of -(1/2) is 2.
The new line, P, will have a slope of 2:
y = 2x+ b
Any value of b will result in a perpendicular line to L. But we want a line that has a y-intercept of -2, so lets make b equal to -2:
y = 2x - 2
This line will be perpendicular to L and pass through point (0,-2). See the attached graph.