Question

Problem Page

Find the slope and the y -intercept of the line.
Write your answers in simplest form.


2x + 5y = -3

Answer 1

slope -2/5

y-intercept -3/5

Explanation:

Slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

Our goal is to write 2x+5y=-3 into y=mx+b to determine the slope and y-intercept.

So we need to isolate y.

2x+5y=-3

Subtract 2x on both sides:

5y=-2x-3

Divide both side by 5:

`y=(-2)/(5)x-(3)/(5)`

Compare this to y=mx+b.

You should see m is -2/5 and b is -3/5

so the slope is -2/5 and the y-intercept is -3/5

Answer 2

The slope is:
`-(2)/(5)` or
`-0.4`

The y-intercept is:
`-(3)/(5)` or
`-0.6`

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

To write the given equation in this form, we need to solve for "y":

`2x + 5y = -3\\\\5y=-2x-3\\\\y=-(2)/(5)x-(3)/(5)`

Therefore, you can identify that the slope of this line is:

`m=-(2)/(5)=0.4`

And the y-intercept is:

`b=-(3)/(5)=-0.6`