Exercise 12 Page 334

Consider the given equation of a line. x = - 3 Notice, that the given line is a vertical line. Lines parallel to x = -3, are also vertical. Because of this, we can write a general equation for these lines. x=b We are asked to write the equation of a line parallel to the given equation that passes through the point ( 4, 2). By substituting 4 into the above equation for x, we will be able to solve for the x-intercept of the parallel line.

x=b

Substitute

x= 4

4 = b

RearrangeEqn

Rearrange equation

b = 4

Now that we have the y-intercept, we can write the parallel line to x=- 3 through (4,2). x=4