Hi Mondrea;
1. (3,5), y=2x+1
The equation is parallel to this. This means that the slope is identical. This formula is in the format of...
y=mx+b
m is the slope, 2 in this equation, as well as the line parallel to it.
b is the yintercept, the value of y when x=0.
We will use pointslope formula to establish the equation of the line parallel to this.
yy_{1}=m(xx_{1})
y5=2(x3)
Subtracting a negative number is the same as adding a positive number...
y5=(2)(x+3)
y5=2x6
Let's add 5 to both sides...
5+y5=2x6+5
y=2x1
2.(2,8), y=4x1
Slope is 4.
(yy_{1})=m(xx_{1})
(y8)=4(x2)
y8=4x8
The 8 on both sides cancels...
y=4x
1/30/2014

Vivian L.