which equation of a line is parallel to the equation -4x+3y=12?

y=4/3x+6
y=4x+8
y=3x+12
y=-4/3x+4

1 answer

The equation of a line that is parallel to -4x+3y=12 would have the same slope.

To find the slope of the given equation, we need to put it in slope-intercept form (y=mx+b), where m represents the slope.

Starting with -4x+3y=12:
3y=4x+12
y=(4/3)x+4

Therefore, the equation of a line that is parallel to -4x+3y=12 is y=(4/3)x+6. Answer: y=4/3x+6.