Exercise 8 Page 334

Parallel lines have the same slope. With this in mind, consider the given equation. y=- x-2 ⇔ y= -1x-2 We see that the slope of the above line is -1. Therefore, the slope of any parallel line will have a slope of - 1. Using this information, we can write a general equation in slope-intercept form for any line which is parallel to the given one. y= - 1x+b ⇔ y=- x+b We are asked to write the equation of a parallel line to the given one that passes through the point ( 2, - 2). By substituting 2 and - 2 for x and y, respectively, in the above formula, we will be able to find the y-intercept b.

Now that we know that b= , we can write the equation of the line that passes through (2, - 2) and is parallel to y=- x-2. y=- x+ ⇔ y=- x