Slope-intercept form is given as:
y = mx + b
we need to rewrite our inequality in a way y represents the subject of formula:
[tex]\begin{gathered} -10x\text{ + 2y > 14} \\ \text{Add 10x to both sides:} \\ -10x\text{ + 10x + 2y > 14 + 10x} \\ 2y\text{ }>\text{ 14 + 10x} \end{gathered}[/tex][tex]\begin{gathered} 2y\text{ > 10x +14} \\ \text{divide both sides by 2:} \\ \frac{2y}{2}\text{ > }\frac{10x}{2}\text{ +}\frac{14}{2} \\ y\text{ > 5x + }7 \end{gathered}[/tex]