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 a line in slope-intercept form with the given slope that passes through the given point. m=-(4)/(5);(6,-2) The equation of the line is ◻ (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Write the equation of a line in slope-intercept form with the given slope that passes through the given point.\newlinem=−45;(6,−2) m=-\frac{4}{5} ;(6,-2) \newlineThe equation of the line is □ \square (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

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 a slope and a pointright chevron icon

Full solution

Q. Write the equation of a line in slope-intercept form with the given slope that passes through the given point.\newlinem=−45;(6,−2) m=-\frac{4}{5} ;(6,-2) \newlineThe equation of the line is □ \square (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
  1. Definition of Slope-intercept form: Slope-intercept form is y=mx+by = mx + b, where mm is the slope and bb is the yy-intercept.
  2. Given slope and point: Given slope mm is −45-\frac{4}{5} and the point is (6,−2)(6, -2).
  3. Plug in the point: Plug the point (6,−2)(6, -2) into the equation to solve for bb, y=mx+by = mx + b becomes −2=−(45)(6)+b-2 = -\left(\frac{4}{5}\right)(6) + b.
  4. Calculate bb: Calculate bb: −2=−(245)+b-2 = -\left(\frac{24}{5}\right) + b, so b=−2+(245)b = -2 + \left(\frac{24}{5}\right).
  5. Simplify bb: Simplify bb: b=(−10/5)+(24/5)b = (-10/5) + (24/5), b=14/5b = 14/5.
  6. Final equation: Write the final equation using the slope and y-intercept: y=−(45)x+145y = -\left(\frac{4}{5}\right)x + \frac{14}{5}.

More problems from Write a linear equation from a slope and a point

Question
Does the point (0,4)(0, 4) satisfy the equation y=xy = x??\newlineChoices: [[yes]][[no]]
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the slope of the line y=−4x+25 y = -4x + \frac{2}{5} .\newlineWrite your answer as an integer or as a simplified proper or improper fraction.
Get tutor helpright-arrow

Posted 1 month ago

Question
Rewrite the following equation in slope-intercept form.\newliney+8=−8(x−10)y + 8 = -8(x - 10)\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.\newline_____
Get tutor helpright-arrow

Posted 1 month ago

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

Posted 1 month 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 ?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the slope of the line y+3=−118(x+6)y + 3 = -\frac{1}{18}(x + 6).\newlineWrite your answer as an integer or as a simplified proper or improper fraction.
Get tutor helpright-arrow

Posted 1 month 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. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.\newline____
Get tutor helpright-arrow

Posted 1 month ago

Question
Is the graph of this equation a horizontal or vertical line?\newlinex=7x = 7\newlineChoices:\newline(A)horizontal line\text{(A)horizontal line}\newline(B)vertical line\text{(B)vertical line}
Get tutor helpright-arrow

Posted 2 months ago

Question
Rewrite the following equation in standard form.\newliney=−10x+7 y = -10x + 7 \newlineHint: The standard form of a linear equation is\newlineAx+By=C Ax + By = C where A A and B B are not both zero, and A A , B B , and C C are integers whose GCF is 11. ______
Get tutor helpright-arrow

Posted 2 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?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−‾=‾(x−‾)y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})
Get tutor helpright-arrow

Posted 1 month ago

View all (16)