Question

Change the equation to slope intercept form and identity the slope and y-intercept -8x+2y=6

Answer 1

The answer is:

$y=4x+3$

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

1. The slope intercept form of the linear equation is:

$y=mx+b$

Where $m$ is the slope and $b$ is the y-intercept.

2. Therefore, you must solve for y, as following:

$-8x+2y=6\\y=\frac{8x+6}{2}\\y=4x+3$

$m=4\\b=3$

Answer 2

Answer:

y = 4x + 3

Step-by-step explanation:

We are given an equation of a line: $-8x+2y=6$ and we are to change it to slope intercept form.

The standard slope intercept form of an equation of a line is:

$y=mx+c$

So changing the given equation to this form.

$-8x+2y=6$

$2y= 6+8x$

$y= \frac{6}{2} +\frac{8x}{2}$

$y=3+4x$

$y=4x+3$

y = 4x + 3 is the slope intercept form of -8x + 2y = 6 where 4 is the slope and 3 is the y-intercept.