Question

Find the slope and the y -intercept of the line.

Answer 1

Answer:

the slope m is:

$m = -\frac{7}{2}$

The y-intersection is:

$b = 2$

Step-by-step explanation:

For the equation of a line written in the form

$y = mx + b$

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

In this case we have the equation

$-7x - 2y = -4$

So we rewrite the equation and we have to:

$2y = -7x + 4$

$y = -\frac{7}{2}x + 2$

the slope m is:

$m = -\frac{7}{2}$

the y-intersection is:

$b = 2$

Answer 2

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:

   $y=\frac{7x-4}{-2}$

Separate the fraction:

$y=\frac{7x}{-2}+\frac{-4}{-2}$

Simplify:

$y=\frac{-7}{2}x+2$

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.