Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Line $f$ has a slope of $\frac{5}{2}$ . Line $g$ is perpendicular to $f$ . What is the slope of line $g$ ? $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ $\_\_$

View step-by-step help

View step-by-step help

Slopes of parallel and perpendicular lines

Full solution

Q. Line

f

has a slope of

\frac{5}{2}

. Line

g

is perpendicular to

f

. What is the slope of line

g

?

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

Identify Perpendicular Lines: Line $g$ is perpendicular to line $f$ , so their slopes are opposite reciprocals.
Calculate Slope of Line $f$ : Slope of line $f$ : $\frac{5}{2}$ $\newline$ To find the slope of line $g$ , take the reciprocal of $\frac{5}{2}$ , which is $\frac{2}{5}$ .
Determine Slope of Line g: Now, since the lines are perpendicular, the slope of line $g$ should be the negative reciprocal of line $f$ 's slope. $\newline$ So, the slope of line $g$ is $-\frac{2}{5}.$

More problems from Slopes of parallel and perpendicular lines

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

Posted 3 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 2 months ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 2 months ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

\newline

Posted 2 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 2 months ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 2 months ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 2 months ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 3 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 3 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 2 months ago