Question

4 multiple choice 1 point write -10x + 2y = 12 in slope-intercept form. y = 5x + 6 y = -5x + 6 y = 5x - 6 y = -5x - 6

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. We need to solve the equation \(- 10x+2y = 12\) for \(y\).

Step2: Isolate the term with \(y\)

Add \(10x\) to both sides of the equation \(-10x + 2y=12\).
We get \(2y=10x + 12\). The reason for adding \(10x\) is to get the \(y\) - term by itself on the left - hand side. The equation after adding \(10x\) is \(2y=10x + 12\) (since \(-10x+10x = 0\) on the left - hand side).

Step3: Solve for \(y\)

Divide each term in the equation \(2y = 10x+12\) by \(2\).
For the term \(2y\div2\), we have \(y\). For the term \(10x\div2\), we have \(5x\). For the term \(12\div2\), we have \(6\). So \(y = 5x+6\).

Answer:

A. \(y = 5x+6\)