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:

Write the equation of the line that passes through the points (-3,8) and (3,2). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer:

Write the equation of the line that passes through the points (−3,8) (-3,8) and (3,2) (3,2) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Write a linear equation from two pointsright chevron icon

Full solution

Q. Write the equation of the line that passes through the points (−3,8) (-3,8) and (3,2) (3,2) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:
  1. Calculate the Slope: Calculate the slope mm of the line using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} with the given points (−3,8)(-3, 8) and (3,2)(3, 2).\newlinem=2−83−(−3)m = \frac{2 - 8}{3 - (-3)}\newlinem=−66m = \frac{-6}{6}\newlinem=−1m = -1
  2. Use Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the equation in point-slope form. The point-slope form is y−y1=m(x−x1)y - y_1 = m(x - x_1). Let's use the point (−3,8)(-3, 8). \newliney−8=−1(x−(−3))y - 8 = -1(x - (-3))\newliney−8=−1(x+3)y - 8 = -1(x + 3)
  3. Simplify the Equation: Simplify the equation to get the final point-slope form. \newliney−8=−1(x+3)y - 8 = -1(x + 3)\newliney−8=−x−3y - 8 = -x - 3

More problems from Write a linear equation from two points

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 (49)

Related topics

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