## Related questions with answers

Question

Write an equation of the line described.

The perpendicular bisector of the segment joining (2,4) and (4,-4)

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2We have to find perpendicular bisector, we will use point-slope form $\frac{y-y_1}{x-x_1} = m$, where $m$ is a slope and $(x_1, y_1)$ on our bisector. First we know our bisector is perpendicular and that it is negative reciprocal of slope through points $(2, 4)$ and $(4, -4)$. Slope of the line through this points is $\frac{-4-4}{4-2} = -4$, thus $m = \frac{1}{4}$. Also, our bisector is passing through midpoint of our segment $(\frac{2+4}{2}, \frac{4-4}{2}) = (3, 0)$, so now from point-slope form we have that equation of our bisector is

$\frac{y}{x-3} = \frac{1}{4}$

or in slope-intercept form $y = \frac{1}{4}x-\frac{3}{4}$.

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Advanced Mathematics: Precalculus with Discrete Mathematics and Data Analysis

ISBN: 9780395551899Brown4,887 solutions

#### Precalculus: Mathematics for Calculus

7th Edition•ISBN: 9781305253810James Stewart, Lothar Redlin, Saleem Watson#### Big Ideas Math Algebra 2: A Common Core Curriculum

1st Edition•ISBN: 9781608408405Boswell, Larson5,067 solutions

## More related questions

1/4

1/7