Exercise 11 Page 201

Consider the given equation of a line. y=-2x+ 1 When lines are parallel, they have the same slope. Because of this, we know that all lines that are parallel to the line whose equation is given will have a slope of -2. We can write a general equation in slope-intercept form for these lines. y=-2x+ b We are asked to write the equation of a parallel line that passes through the point ( 0, 3). By substituting this point into the above equation for x and y, we will be able to solve for the y-intercept b of the parallel line.

y=-2x+b

SubstituteII

x= 0, y= 3

3=-2( 0)+b

ZeroPropMult

Zero Property of Multiplication

3=0+b

AddTerms

Add terms

3=b

RearrangeEqn

Rearrange equation

b=3

Now that we have the y-intercept, we can write the parallel line to y=-2x+1 through (0,3). y=-2x+ 3