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 that includes the points (1,−1)(1,-1) and (3,k)(3,k) has a slope of 33. What is the value of kk?\newlinek = ____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Find a missing coordinate using sloperight chevron icon

Full solution

Q. A line that includes the points (1,−1)(1,-1) and (3,k)(3,k) has a slope of 33. What is the value of kk?\newlinek = ____
  1. Calculate Slope: To find the value of kk, we need to use the formula for the slope of a line, which is (change in yy) / (change in xx). The slope is given as 33, and we have the points (1,−1)(1, -1) and (3,k)(3, k).\newlineSlope formula: (y2−y1)/(x2−x1)=(y_2 - y_1) / (x_2 - x_1) = slope\newlineHere, (x1,y1)=(1,−1)(x_1, y_1) = (1, -1) and (x2,y2)=(3,k)(x_2, y_2) = (3, k).
  2. Apply Slope Formula: Plugging the values into the slope formula, we get:\newline(k−(−1))/(3−1)=3(k - (-1)) / (3 - 1) = 3\newlineSimplify the equation:\newline(k+1)/2=3(k + 1) / 2 = 3
  3. Solve for k: To find the value of kk, we need to solve for kk. Multiply both sides of the equation by 22 to get rid of the denominator:\newline2×(k+12)=2×32 \times \left(\frac{k + 1}{2}\right) = 2 \times 3
  4. Isolate kk: Simplifying the equation, we get: k+1=6k + 1 = 6
  5. Final Value of k: Subtract 11 from both sides to isolate kk:\newlinek+1−1=6−1k + 1 - 1 = 6 - 1\newlinek=5k = 5

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 (36)