Question

Find the slope of a line parallel to the line $y=\frac{2}{3}x-4$

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

Answer 1

The correct option is E $\frac{2}{3}$

Since general equation of the line is $y=mx+c$ where $m$ is the slope of the line and $c$ is the $y$-intercept.

It is given that the equation of the line is $y=\frac{2}{3}x-4$.

Now comparing the given equation $y=\frac{2}{3}x-4$ with $y=mx+c$, we get $m=\frac{2}{3}$.

Therefore, the slope of the line is $\frac{2}{3}$.

Since two parallel lines have equal slopes.

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