Y = 3/4x -4
The slope is 3/4 since it is written in the form y =mx+b where m is the slope
We want a line that is parallel so it will have the same slope
We know the slope of the new line (3/4) and a point (-1,7)
So we can use the point slope form of the equation
y-y1 = m(x-x1)
y-7 = 3/4(x--1)
y-7=3/4(x+1)
Let S= the amount of money Sarah has.
Let J= the amount of money Jose has
J= S+20
J+S=90
But we also know that J can equal S+20
So,
S+20+S=90
2S+20=90
2S=70
S=35
So Sarah has $35, and Jose has $35+$20, so he has 55$
we have

This is a vertical parabola open upward
The axis of symmetry is equal to the x-coordinate of the vertex
The vertex is the point (h,k)
the equation of the axis of symmetry is 
In this problem

so the x-coordinate of the vertex is 
<u>Convert the quadratic equation in vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares


remember that

so



substitute in the equation


therefore
<u>the answer is</u>

The scale factor of the dilation is

.
Notice how one unit of Q'P' can take up 3 units of QP.