Respuesta :

carlosego

The answer is:

[tex]y=4x+3[/tex]

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

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

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

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

[tex]-8x+2y=6\\y=\frac{8x+6}{2}\\y=4x+3[/tex]

[tex]m=4\\b=3[/tex]

alinakincsem

Answer:

y = 4x + 3

Step-by-step explanation:

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

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

[tex]y=mx+c[/tex]

So changing the given equation to this form.

[tex]-8x+2y=6[/tex]

[tex]2y= 6+8x[/tex]

[tex]y= \frac{6}{2} +\frac{8x}{2}[/tex]

[tex]y=3+4x[/tex]

[tex]y=4x+3[/tex]

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