Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line in the xyxy-plane passes through the point (4,−1)(4,-1) and is perpendicular to the line with equation y=x+5y=x+5. Which of the following is an equation of the line?\newlineA. y=x+3y=x+3\newlineB. y=x−3y=x-3\newlineC. y=−x+3y=-x+3\newlineD. y=−x−3y=-x-3

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write an equation for a parallel or perpendicular lineright chevron icon

Full solution

Q. A line in the xyxy-plane passes through the point (4,−1)(4,-1) and is perpendicular to the line with equation y=x+5y=x+5. Which of the following is an equation of the line?\newlineA. y=x+3y=x+3\newlineB. y=x−3y=x-3\newlineC. y=−x+3y=-x+3\newlineD. y=−x−3y=-x-3
  1. Identify slope: Identify the slope of the given line y=x+5y = x + 5.
  2. Determine perpendicular slope: Determine the slope of the line that is perpendicular to the given line.
  3. Use point-slope form: Use the point-slope form to find the equation of the line passing through the point (4,−1)(4, -1) with a slope of −1-1.
  4. Simplify equation: Simplify the equation to get it into slope-intercept form, y=mx+by = mx + b.

More problems from Write an equation for a parallel or perpendicular line

Question
Does the point (0,4)(0, 4) satisfy the equation y=xy = x??
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the slope of the line y=−4x+25 y = -4x + \frac{2}{5} .
Get tutor helpright-arrow

Posted 5 months ago

Question
Rewrite the following equation in slope-intercept form.\newliney+8=−8(x−10)y + 8 = -8(x - 10)
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the y y -intercept of the line 14x−16y=−10 14x - 16y = -10 .\newlineWrite your answer as an integer or decimal or fraction, not as an ordered pair.
Get tutor helpright-arrow

Posted 5 months ago

Question
Line q q has a slope of −23 \frac{-2}{3} . Line r r is perpendicular to q q . What is the slope of line r r ?
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the slope of the line y+3=−118(x+6)y + 3 = -\frac{1}{18}(x + 6).\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Line p p has an equation of y=−8x+6 y = -8x + 6 . Line q q , which is perpendicular to line p p , includes the point (2,−2) (2, -2) . What is the equation of line q q ??\newlineWrite the equation in slope-intercept form.
Get tutor helpright-arrow

Posted 5 months ago

Question
Is the graph of this equation a horizontal or vertical line?\newlinex=7x = 7
Get tutor helpright-arrow

Posted 5 months ago

Question
Determine the standard form of the following equation:\newliney=−10x+7 y = -10x + 7
Get tutor helpright-arrow

Posted 5 months ago

Question
A line with a slope of 99 passes through the point (9,9)(9,9). What is its equation in point-slope form?
Get tutor helpright-arrow

Posted 5 months ago

View all (101)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant