Change the statement from standard form to slope-intercept form. Identify the slope and

Question

y-intercept.
6x+2y=12

Answer 1

To convert the equation from standard form \(6x + 2y = 12\) to slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, follow these steps:

1. Isolate \(y\): Start by moving \(6x\) to the right side of the equation. \[ 2y = -6x + 12 \]

2. Divide by 2: To solve for \(y\), divide every term by 2. \[ y = -3x + 6 \]

Now the equation is in slope-intercept form \(y = mx + b\).

From the equation \(y = -3x + 6\):

• The slope \(m\) is \(-3\).
• The y-intercept \(b\) is \(6\).

Answer: Slope: -3, Y-intercept: 6.