Answer:
[tex]n=5[/tex]
Step-by-step explanation:
we can find slope intercept for [tex]f(x)=mx+b[/tex]
m=slope
b= y intercept
We use slope formula to find slope [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
We use the 2 points we know
[tex]\frac{-10-(-25)}{-1-(-4)}[/tex]
[tex]\frac{15}{3}[/tex]
[tex]5[/tex]
Slope is 5 so we fill that into the equation
[tex]y=5x+b[/tex]
Fill in a point we know to find b
[tex]-10=5(-1)+b[/tex]
[tex]-10=-5+b[/tex]
Add 5 to both sides
[tex]-5=b[/tex]
Now we fill that into the equation
[tex]y=5x-5[/tex]
Now to find n we fill in the y value to find n
[tex]20=5n-5[/tex]
Add 5 to both sides
[tex]25=5n[/tex]
Divide both sides by 5
[tex]n=5[/tex]
I hope this helps
