Question

Write the inequality in slope-intercept form\-10x + 2y > 14

Answer 1

`y\text{ > 5x + }7`

Step-by-step explanation:
`-10x\text{ + 2y > 14}`

Slope-intercept form is given as:

y = mx + b

we need to rewrite our inequality in a way y represents the subject of formula:

`\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}`
`\begin{gathered} 2y\text{ > 10x +14} \\ \text{divide both sides by 2:} \\ (2y)/(2)\text{ > }(10x)/(2)\text{ +}(14)/(2) \\ y\text{ > 5x + }7 \end{gathered}`