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:

The equation for line ss can be written as y=−25x+4y = -\frac{2}{5}x + 4. Line tt, which is parallel to line ss, includes the point (−3,2)(-3,2). What is the equation of line tt?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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. The equation for line ss can be written as y=−25x+4y = -\frac{2}{5}x + 4. Line tt, which is parallel to line ss, includes the point (−3,2)(-3,2). What is the equation of line tt?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
  1. Find slope of line ss: Determine the slope of line ss.\newlineLine ss has the equation y=−25x+4y = -\frac{2}{5}x + 4. The slope of line ss is the coefficient of xx, which is −25-\frac{2}{5}.
  2. Determine slope of line tt: Since line tt is parallel to line ss, it must have the same slope. The slope of line tt is therefore also −25-\frac{2}{5}.
  3. Use point-slope form: Use the point-slope form to find the equation of line tt. The point-slope form of a line is y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope and (x1,y1)(x_1, y_1) is a point on the line. We have the point (−3,2)(-3,2) and the slope −25-\frac{2}{5}.
  4. Plug slope and point: Plug the slope and the point into the point-slope form equation.\newlineUsing the point (−3,2)(-3,2) and the slope −25-\frac{2}{5}, the equation becomes y−2=−25(x−(−3))y - 2 = -\frac{2}{5}(x - (-3)).
  5. Simplify to slope-intercept form: Simplify the equation to get it into slope-intercept form, y=mx+by = mx + b.\newliney−2=−25(x+3)y - 2 = -\frac{2}{5}(x + 3)\newliney−2=−25x−65y - 2 = -\frac{2}{5}x - \frac{6}{5}\newliney=−25x−65+2y = -\frac{2}{5}x - \frac{6}{5} + 2\newliney=−25x−65+105y = -\frac{2}{5}x - \frac{6}{5} + \frac{10}{5}\newliney=−25x+45y = -\frac{2}{5}x + \frac{4}{5}

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 7 months ago

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

Posted 7 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 7 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 7 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 7 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 7 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 7 months ago

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

Posted 7 months ago

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

Posted 7 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 7 months ago

View all (101)

Related topics

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