Question

What is the
Formula:
Slope:

Answer 1

Slope =
`0`

Formula:
`y=(3)/(4)`

Explanation:

First use the slope equation to find the rise over run:

Slope Equation =
`(y_1-y_2)/(x_1-x_2)`

Then insert the two points:

`(3/4 - 3/4)/(2-5)`

Then complete the equation:

`(0)/(-3)`

Now we have an answer for our slope:

Slope =
`0`, because -3 can go into 0 a total of 0 times.

Afterwards we take the Point Slope Formula:

Point Slope Formula =
`y=mx+b`

And insert our new slope and one of the points that belongs to this formula:

`y=mx+b\\y=(3)/(4) ,x=5,b=?\\(3)/(4)=0(5)+b`

Now we calculate for b which is the y-intercept:

`(3)/(4) =0(5)+b\\(3)/(4) = 0+b\\(3)/(4) =b`

Now we know that the y-intercept is
`(3)/(4)`.

So we have all the parts of the formula:

Slope = 0

Y-intercept =
`(3)/(4)`

So now you plug in these numbers into their places in the point slope formula:

`y=mx+b\\y=0x+(3)/(4)`

So that's our answer, but you can simplify this equation more by seeing that no matter what the x-value is, when its multiplied by 0 it will always ne 0. So we can take the, 0x, out of the equation since the number will never change.

Which leaves us with:

`y=(3)/(4)`