Question

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

Write your answers in simplest form.


-7x - 2y = -4

Answer 1

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

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=(7x-4)/(-2)`

Separate the fraction:

`y=(7x)/(-2)+(-4)/(-2)`

Simplify:

`y=(-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.

Answer 2

the slope m is:

`m = -(7)/(2)`

The y-intersection is:

`b = 2`

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 = -(7)/(2)x + 2`

the slope m is:

`m = -(7)/(2)`

the y-intersection is:

`b = 2`