Question

Select the equations that are parallel and perpendicular to y = one over fourx + 7 and that pass through the point (−8, 9).

parallel: y = one over fourx − 11
perpendicular: y = −4x + 23

parallel: y = −4x + 11
perpendicular: y = one over fourx − 4

parallel: y = 4x − 7
perpendicular: y = negative one over fourx − 7

parallel: y = one over fourx + 11
perpendicular: y = −4x − 23


@mathstudent55

Answer 1

@mathstudent55

Answer 2

Parallel lines have the same slope.
When you write the equation of a line as y = mx + b, m is the slope.

Perpendicular lines have slopes that are negative reciprocals. That means if you know the slope of a line, the slope of a perpendicular is obtained by flipping the slope and changing the sign.

Answer 3

ok.....

Answer 4

Your line is
\(y = \dfrac{1}{4}x + 7 \)

The slope is \(m = \dfrac{1}{4}\)

A parallel line has slope \( m = \dfrac{1}{4} \), the same.

A perpendicular line has slope \(m = -4\), the negative reciprocal.

Only choices A and D have the correct slopes for the lines, so eliminate B and C.

Answer 5

ok I think its B? am I right/

Answer 6

?
Do you read what I write?

Answer 7

i meant A

Answer 8

Let's test A.

\(y = \dfrac{1}{4}x - 11 \)

Test point (-8, 9)

\(9 = \dfrac{1}{4}(8) - 11 \)

\( 9 = 2 - 11 \)

9 = -2 Not true. This can't be the correct choice, so the correct choice must be D.