Question

What is 3y + 5x = -15 written in slope-intercept form?O y- &x+5O y--gx-5o y- x-5O y--3x+5

Answer 1

The slope-intercept form of a linear equation is:

`\begin{gathered} y\text{ = mx + c} \\ \text{where m is the slope} \\ \text{and c is the intercept} \end{gathered}`

Given:

`3y\text{ + 5x = -15}`

Solution

By re-arranging the given expression, we have:

`\begin{gathered} \text{Dividing through by the coefficient of y} \\ (3y)/(3)\text{ + }(5x)/(3)\text{ = }(-15)/(3) \\ y\text{ + }(5)/(3)x\text{ = -5} \\ y\text{ = -}(5)/(3)x\text{ - 5} \end{gathered}`