Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 2x + y = 8

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. We need to solve the given equation \(2x + y=8\) for \(y\).

Step2: Isolate \(y\)

Subtract \(2x\) from both sides of the equation \(2x + y = 8\). Using the subtraction property of equality, we get \(y=-2x + 8\).

Answer:

\(y = - 2x+8\)