Question

What is the Formula: Slope:

Answer 1

Answer:

Slope = $0$

Formula: $y=\frac{3}{4}$

Step-by-step explanation:

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

Slope Equation = $\frac{y_1-y_2}{x_1-x_2}$

Then insert the two points:

$\frac{3/4 - 3/4}{2-5}$

Then complete the equation:

$\frac{0}{-3}$

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:

$y=mx+b\\y=\frac{3}{4} ,x=5,b=?\\\frac{3}{4}=0(5)+b$

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

$\frac{3}{4} =0(5)+b\\\frac{3}{4} = 0+b\\\frac{3}{4} =b$

Now we know that the y-intercept is $\frac{3}{4}$.

So we have all the parts of the formula:

Slope = 0

Y-intercept = $\frac{3}{4}$

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

$y=mx+b\\y=0x+\frac{3}{4}$

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:

$y=\frac{3}{4}$