11x-7y=-28

Question

It's algerbra 1 on write the slope-intercept form of the equation of each line

Answer 1

Hey!

 

I noticed that you stated that you must put the equation, 11x-7y=-28, into slope-intercept form.

 

First, before you can even begin to do anything with that question, you must first know what the slope-intercept form is. 

 

So, I will tell you! The slope-intercept form is a form of an equation that is written as follows: y=mx+b.

 

Now, if you're not very good at Algebra, or Math in general, you will look at the equation I just gave you and say something to the effect of "And? How is that going to help me? That's just a bunch of letters..."

 

And the answer to that question is found when you break the equation down into meaningful parts, such as:

"x and y" are always going to be "x and y" in an equation, whether it is in slope-intercept form or not. Therefore, you need to find out what "m and b" stand for..."m" is going to be the slope of the equation while b is going to be the y-intercept of the equation.

 

Now, there is two ways to solve this problem...an extremely difficult way and an easy way and for the sake of your sanity and mine, I will tell you how to simply put this equation into slope-intercept form.

 

With the equation, 11x-7y=-28, you must first get the variable "y" on one side by itself, because in the slope-intercept form the "y" is by itself. In order to get the "y" on one side of the equation by itself, you must first take away the 11x from the left side. Once you subtract something from one side, you must do the same on the other side. Therefore, after you subtract 11x from both sides, you will have -7y=-28-11x. Since, in the slope-intercept form, the "y" is positive, the "y" must be converted to a positive, which is done when a negative is divided by a negative. Therefore, in order to get rid of the negative and completely get "y" by itself, you must then divide by -7 on both sides of the equation. Diving by -7 on both sides of the equation will then give you the equation in slope-intercept form, which is: y=11x/7+4

 

Hope this helps! 

Answer 2

In general, the slope-intercept form assumes the formula: y= mx +b.
Where
m = slope of the line
And
b = the y-intercept
This means we want to find a way to change your equation into the form y=mx+b.
We will find m and b along the way.

To put your equation into slope-intercept form, we must get y all by itself.
Original equation: 11x-7y=-28

The first step is to add 7y to both sides.  Think of an equation like a balance beam or a teeter totter.  If it is going to stay balanced, we must do the same thing to both sides.
11x+7y-7y=-28+7y

Simplifying our equation we get
11x+0=-28+7y

which is the same as
11x=-28+7y

Then we must add 28 to both sides.
11x+28=-28+28+7y

Simplifying our equation we get
11x+28=0+7y

which is the same as
11x+28=7y

Next we must divide both sides by 7 so that we have one y instead of 7y.
(11/7)x+(28/7)=(7/7)y  We must divide each term by 7.

Simplifying our equation we get
(11/7)x+4=y

Since y is by itself, we get the final answer of
y=(11/7)x+4

Where
m=11/7
b=4

Just the equations:
11x-7y=-28
11x=-28+7y
11x+28=7y
(11/7)x+4=y
y=(11/7)x+4

Answer 3

Hi Mallory

 

The slope intercept from for the equation of a line is y = mx + b

 

Where m = slope and b equals the y-intercept

 

in this case you would need to modify the equation to get it into that form

 

11x - 7y = -28

 

subtract 11x from both sides of the equation

 

- 7y = -11x - 28

 

now divide  both sides by -7

 

y = 11/7 x + 4  and this is the slope intercept form