The slope intercept form is y=mx+b
The slope formula is m=(y2-y1)/(x2-x1)
So; 5-(-7) / 0-4= -3
Then you use one of the points to find b; I’ll use 0 and 5 (the first number is x and the second number is y)
5=(-3)(0)+b
5=0+b
5=b
Finally you plug in your two values
Y= -3x+5
Hope this helps :)
Answer:
I'm not sure but the last one I think is wroght
Answer:

Step-by-step explanation:
we know that
The quadratic equation in standard form is equal to

we have

This is a quadratic equation in vertex form
Convert to standard form

Apply distributive property

Combine like terms
----> quadratic equation in standard form
Answer:
B is 6.
Step-by-step explanation:
We are trying to find a value for
such that:
is true for every
.
So let's choose
:




Divide both sides by -8:



Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.
Check:
So let's check and use foil to multiply out the right hand side.




There was a 2 in front of that multplicapltiation:



This is exactly what we have on the left hand side of your given equation.