Answer:
Slope = [tex]0[/tex]
Formula: [tex]y=\frac{3}{4}[/tex]
Step-by-step explanation:
First use the slope equation to find the rise over run:
Slope Equation = [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]
Then insert the two points:
[tex]\frac{3/4 - 3/4}{2-5}[/tex]
Then complete the equation:
[tex]\frac{0}{-3}[/tex]
Now we have an answer for our slope:
Slope = [tex]0[/tex], because -3 can go into 0 a total of 0 times.
Afterwards we take the Point Slope Formula:
Point Slope Formula = [tex]y=mx+b[/tex]
And insert our new slope and one of the points that belongs to this formula:
[tex]y=mx+b\\y=\frac{3}{4} ,x=5,b=?\\\frac{3}{4}=0(5)+b[/tex]
Now we calculate for b which is the y-intercept:
[tex]\frac{3}{4} =0(5)+b\\\frac{3}{4} = 0+b\\\frac{3}{4} =b[/tex]
Now we know that the y-intercept is [tex]\frac{3}{4}[/tex].
So we have all the parts of the formula:
Slope = 0
Y-intercept = [tex]\frac{3}{4}[/tex]
So now you plug in these numbers into their places in the point slope formula:
[tex]y=mx+b\\y=0x+\frac{3}{4}[/tex]
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:
[tex]y=\frac{3}{4}[/tex]
