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 an equation for the line that passes through the given point and has the given slope m. (4,-5);m=-(1)/(4)

Write an equation for the line that passes through the given point and has the given slope m m .\newline(4,−5);m=−14 (4,-5) ; m=-\frac{1}{4}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Find a missing coordinate using sloperight chevron icon

Full solution

Q. Write an equation for the line that passes through the given point and has the given slope m m .\newline(4,−5);m=−14 (4,-5) ; m=-\frac{1}{4}
  1. Use Point-Slope Form: We will use the point-slope form of the equation of a line, which 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 the point the line passes through.
  2. Given Point and Slope: Given point: (4,−5)(4, -5)\newlineGiven slope: m=−14m = -\frac{1}{4}\newlineSubstitute the given point and slope into the point-slope form equation.\newliney−(−5)=−14(x−4)y - (-5) = -\frac{1}{4}(x - 4)
  3. Simplify Equation: Simplify the equation by distributing the slope on the right side and moving the −5-5 to the other side.\newliney+5=−14x+1y + 5 = -\frac{1}{4}x + 1
  4. Subtract 55: Subtract 55 from both sides to get the yy by itself.\newliney=−14x+1−5y = -\frac{1}{4}x + 1 - 5
  5. Combine Like Terms: Combine like terms on the right side to get the final equation.\newliney=−14x−4y = -\frac{1}{4}x - 4

More problems from Find a missing coordinate using slope

Question
What is the slope of the line through (−2,−6)(-2,-6) and (2,2)(2,2)?\newlineChoose 11 answer:\newline(A) 12\frac{1}{2}\newline(B) −2-2\newline(C) 22\newline(D) −12-\frac{1}{2}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? Choose 11 answer: \newline(A) 22 \newline(B) 12\frac{1}{2} \newline(C) −12-\frac{1}{2} \newline(D) −2-2
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−9,−6)(-9,-6) and (3,−9)(3,-9)? Choose 11 answer: \newline(A) −4-4 \newline(B) 14\frac{1}{4} \newline(C) 44 \newline(D) −14-\frac{1}{4}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through \newline(−5,−10)(-5,-10) and \newline(−1,5)(-1,5)?\newlineChoose 11 answer:\newline(A) \newline154\frac{15}{4}\newline(B) \newline415\frac{4}{15}\newline(C) \newline−154-\frac{15}{4}\newline(D) \newline−415-\frac{4}{15}
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the slope of the line through (−1,8)(-1,8) and (3,−4)(3,-4)? Choose 11 answer: \newline(A) −13-\frac{1}{3} \newline(B) 13\frac{1}{3} \newline(C) 33 \newline(D) −3-3
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−4,2)(-4,2) and (3,−3)(3,-3)? Choose 11 answer: (A) 75\frac{7}{5} (B) −75-\frac{7}{5} (C) −57-\frac{5}{7} (D) 57\frac{5}{7}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (2,−2)(2,-2) and (9,3)(9,3)? \newlineChoose 11 answer:\newline(A) 57\frac{5}{7}\newline(B) −57-\frac{5}{7}\newline(C) 75\frac{7}{5}\newline(D) −75-\frac{7}{5}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (1,−1)(1,-1) and (5,−7)(5,-7)? Choose 11 answer: (A) −32-\frac{3}{2} (B) 32\frac{3}{2} (C) −23-\frac{2}{3} (D) 23\frac{2}{3}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (1,0)(1,0) and (3,8)(3,8)? Choose 11 answer: (A) −14-\frac{1}{4} (B) 44 (C) −4-4 (D) 14\frac{1}{4}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−1,−7)(-1,-7) and (3,9)(3,9)?\newlineChoose 11 answer:\newline(A) 14\frac{1}{4}\newline(B) 44\newline(C) −14-\frac{1}{4}\newline(D) −4-4
Get tutor helpright-arrow

Posted 10 months ago

View all (92)

Related topics

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