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 (−7,c)(-7,c) and (−9,−4)(-9,-4) fall on a line with a slope of 77. What is the value of cc?\newlinec = ____

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 (−7,c)(-7,c) and (−9,−4)(-9,-4) fall on a line with a slope of 77. What is the value of cc?\newlinec = ____
  1. Calculate Slope Equation: Points: (−7,c)(-7, c) and (−9,−4)(-9, -4)\newlineSlope: 77\newlineSelect the equation that represents the slope of the line.\newlineSlope =y2−y1x2−x1= \frac{y_2 - y_1}{x_2 - x_1}\newline7=c−(−4)−7−(−9)7 = \frac{c - (-4)}{-7 - (-9)}
  2. Simplify Equation: 7=c−(−4)−7−(−9)7 = \frac{c - (-4)}{-7 - (-9)}\newlineSimplify the right side of the equation.\newline7=c+4−7+97 = \frac{c + 4}{-7 + 9}\newline7=c+427 = \frac{c + 4}{2}
  3. Isolate Variable cc: 7=c+427 = \frac{c + 4}{2}\newlineMultiply both sides by 22 to isolate cc.\newline7×2=c+42×27 \times 2 = \frac{c + 4}{2} \times 2\newline14=c+414 = c + 4
  4. Solve for c: 14=c+414 = c + 4\newlineSolve for c.\newline14−4=c+4−414 - 4 = c + 4 - 4\newline10=c10 = c

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