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:
[tex]4x-2y=10[/tex]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:
[tex]\begin{gathered} 4x-2y-4x=10-4x \\ \\ -2y=-4x+10 \\ \\ \frac{-2y}{-2}=\frac{-4x+10}{-2} \\ \\ \mathbf{y=2x-5} \end{gathered}[/tex]Thus, the slope is 2 and the y-intercept is -5.
Therefore, the answer is:
y = 2x - 5 slope: 2 y-intercept: -5
