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

8-57.

For the line

*y*= 2*x*+ 6: Homework Help ✎What is the

*x*-intercept?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* = 2*x* + 6

0 = 2*x* + 6

−6 = 2*x*

−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* = 4*x* + 7*m* = 4