convert the following equations from standard form to slope-intercept form

Question

6x+2y=10

Answer 1

To convert the equation from standard form \(6x + 2y = 10\) to slope-intercept form \(y = mx + b\), follow these steps:

1. Start with the original equation: \[ 6x + 2y = 10 \]

2. Isolate the \(y\) term by subtracting \(6x\) from both sides: \[ 2y = -6x + 10 \]

3. Divide every term by \(2\) to solve for \(y\): \[ y = -3x + 5 \]

Now the equation is in slope-intercept form, where the slope \(m = -3\) and the y-intercept \(b = 5\).