which equation has a graph perpendicular to the graph of 7x=14y-8?
A. y=-2x-7
B. y=-1/2x+4
C. y=1/2x+1
D. y=2x+9
We can rearrange the equation 7x=14y-8 to the slope-intercept form y=mx+b, where m is the slope.
Dividing both sides by 14, we have:
x = 2y - 4/7
Rearranging further, we have:
2y = x + 4/7
y = 1/2x + 2/7
The slope of this equation is 1/2.
The equation with a perpendicular graph will have a negative reciprocal slope, which is -2.
Among the given options, the only equation with a slope of -2 is:
A. y=-2x-7