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 passes through the points (−1,−8)(-1,-8) and (1,6)(1,6). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

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. A line passes through the points (−1,−8)(-1,-8) and (1,6)(1,6). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Calculate slope: Step 11: Calculate the slope of the line using the points (−1,−8)(-1, -8) and (1,6)(1, 6).\newlineSlope formula: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}\newlinem=6−(−8)1−(−1)m = \frac{6 - (-8)}{1 - (-1)}\newlinem=142m = \frac{14}{2}\newlinem=7m = 7
  2. Find y-intercept: Step 22: Use the slope and one point to find the y-intercept, bb. Using point (1,6)(1, 6) and slope m=7m = 7 in the equation y=mx+by = mx + b. 6=7(1)+b6 = 7(1) + b 6=7+b6 = 7 + b b=6−7b = 6 - 7 b=−1b = -1
  3. Write equation: Step 33: Write the equation of the line in slope-intercept form.\newlineUsing m=7m = 7 and b=−1b = -1, the equation is:\newliney=7x−1y = 7x - 1

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