Question

Find the slope of the line parallel to the equation $4x-2y=-1$

• A. $2$
• B. $4$
• C. $-4$
• D. $1$

Answer 1

The correct option is A $2$

The slope intercept form of the line is $y=mx+c$, where $m$ is the slope of the line and $c$ is the $y$-intercept.

Change the equation $4x-2y=-1$ in slope intercept form:

$4x-2y=-1$

$-2y=-4x-1$

$y=2x+\frac{1}{2}$

Therefore, the slope of the line $4x-2y=-1$ is $m=2$.

Since the parallel lines have same slope.

Hence, the slope of the line parallel to the line $4x-2y=-1$ is $m=2$.