Question

What is the slope of the line parallel to the equation $2y-3x=4$?

• A. $\frac{3}{2}$
• B. $\frac{1}{2}$
• C. $\frac{4}{2}$
• D. $\frac{-3}{2}$

Answer 1

Answer: (A)

$\frac{3}{2}$

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 $2y-3x=4$ in slope intercept form:

$2y-3x=4$

$2y=3x+4$

$y=\frac{3}{2}x+2$

Therefore, the slope of the line $2y-3x=4$ is $m=\frac{3}{2}$.

Since the parallel lines have same slope.

Hence, the slope of the line parallel to the line $2y-3x=4$ is $m=\frac{3}{2}$.