Question

What is the slope of the line represented by 4x-2y=10?

Answer 1

ANSWER:

2

STEP-BY-STEP EXPLANATION:

We have the following equation of line:

$4x-2y=10$

The equation of the line in its slope and intercept form is like this:

$\begin{gathered} y=mx+b \\ \text{where, m is the slope and b is the y-intercept} \end{gathered}$

Therefore, we must solve for y to know the value of the slope (m), like this:

$\begin{gathered} 4x-2y=10 \\ 2y=4x-10 \\ y=\frac{4x-10}{2} \\ y=\frac{4x}{2}-\frac{10}{2} \\ y=2x-5 \\ \text{therefore,} \\ m=2 \end{gathered}$

The slope is 2