Question

Write the given equation in slope-intercept form, y = mx + b, by solving for y. Then, find the slope and y-intercept of the line4x -2y = 10A) y = 2x - 5 slope: 2 y-intercept: -5B) y = -4x - 5 slope: -4 y-intercept: -5C) y = 2x + 5 slope: 2 y-intercept: 5D) y = -2x - 5 slope: -2 y-intercept: -5

Answer 1

In the slope-intercept form y = mx+b, m is the slope and b is the y-intercept.

We need to write in that form the following equation:

`4x-2y=10`

To do so, we can apply the same operations on both sides of the equation until we isolate the variable y on the left side.

We obtain:

`\begin{gathered} 4x-2y-4x=10-4x \\ \\ -2y=-4x+10 \\ \\ (-2y)/(-2)=(-4x+10)/(-2) \\ \\ \mathbf{y=2x-5} \end{gathered}`

Thus, the slope is 2 and the y-intercept is -5.

Therefore, the answer is:

y = 2x - 5 slope: 2 y-intercept: -5