Respuesta :

Answer:

So the y-intercept is 2 while the slope is -7/2.

Step-by-step explanation:

We are going to write this in slope-intercept form because it tells us the slope,m, and the y-intercept,b.

Slope-intercept form is y=mx+b.

So our goal is to solve for y.

-7x-2y=-4

Add 7x on both sides:

   -2y=7x-4

Divide both sides by -2:

   [tex]y=\frac{7x-4}{-2}[/tex]

Separate the fraction:

[tex]y=\frac{7x}{-2}+\frac{-4}{-2}[/tex]

Simplify:

[tex]y=\frac{-7}{2}x+2[/tex]

If we compare this to y=mx+b, we see m is -7/2 and b is 2.

So the y-intercept is 2 while the slope is -7/2.

luisejr77

Answer:

the slope m is:

[tex]m = -\frac{7}{2}[/tex]

The y-intersection is:

[tex]b = 2[/tex]

Step-by-step explanation:

For the equation of a line written in the form

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

m is the slope and b is the intersection with y-axis.

In this case we have the equation

[tex]-7x - 2y = -4[/tex]

So we rewrite the equation and we have to:

[tex]2y = -7x + 4[/tex]

[tex]y = -\frac{7}{2}x + 2[/tex]

the slope m is:

[tex]m = -\frac{7}{2}[/tex]

the y-intersection is:

[tex]b = 2[/tex]

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