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 points (-6,r) and (10,-2) lie on a line with slope -(3)/(4). Find the missing coordinate r. r=

The points (−6,r) (-6, r) and (10,−2) (10,-2) lie on a line with slope −34 -\frac{3}{4} . Find the missing coordinate r r .\newliner= r=

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. The points (−6,r) (-6, r) and (10,−2) (10,-2) lie on a line with slope −34 -\frac{3}{4} . Find the missing coordinate r r .\newliner= r=
  1. Identify Points and Slope: Identify the given points and the slope of the line.\newlinePoints: (−6,r)(-6, r) and (10,−2)(10, -2)\newlineSlope: −(34)-\left(\frac{3}{4}\right)\newlineUse the slope formula to set up the equation.\newlineSlope =y2−y1x2−x1= \frac{y_2 - y_1}{x_2 - x_1}\newline−(34)=−2−r10−(−6)-\left(\frac{3}{4}\right) = \frac{-2 - r}{10 - (-6)}
  2. Set Up Equation: Simplify the right side of the equation.\newline−34=−2−r10+6-\frac{3}{4} = \frac{-2 - r}{10 + 6}\newline−34=−2−r16-\frac{3}{4} = \frac{-2 - r}{16}
  3. Simplify Equation: Cross-multiply to solve for rr.−34×16=−2−r-\frac{3}{4} \times 16 = -2 - r−3×4=−2−r-3 \times 4 = -2 - r−12=−2−r-12 = -2 - r
  4. Cross-Multiply to Solve: Solve for rr.
    −12=−2−r-12 = -2 - r
    −12+2=−2−r+2-12 + 2 = -2 - r + 2
    −10=−r-10 = -r
    r=10r = 10

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 4 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 4 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 4 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 2 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 4 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 4 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 4 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 4 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 4 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 4 months ago

View all (97)