### Home > CAAC > Chapter 8 > Lesson 8.2.2 > Problem8-57

8-57.
1. For the line y = 2x + 6: Homework Help ✎

1. What is the x-intercept?

2. What is the slope of any line perpendicular to the given line?

The x-intercept is where y = 0.

Subtract 6 from both sides.

Divide by 2 on both sides.

y = 2x + 6
0 = 2x + 6

−6 = 2x

−3 = x

The x-intercept is (−3, 0).

The slope of a line perpendicular to another line is the negative reciprocal of the other line's slope.

Example:
Line (a): y = 4x + 7
m = 4

$\text{The line perpendicular to line (a) has the slope }-\frac{1}{4}.$