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 has a slope of −2-2 and includes the points (−3,j)(-3,j) and (−6,6)(-6,6). What is the value of jj?\newlinej=___j = \_\_\_

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Find a missing coordinate using sloperight chevron icon

Full solution

Q. A line has a slope of −2-2 and includes the points (−3,j)(-3,j) and (−6,6)(-6,6). What is the value of jj?\newlinej=___j = \_\_\_
  1. Identify Slope Formula: To find the value of jj, we can use the slope formula, which is (y2−y1)/(x2−x1)=slope(y_2 - y_1) / (x_2 - x_1) = \text{slope}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of two points on the line.
  2. Assign Coordinates: We know the slope mm is −2-2, and we have the points (−3,j)(-3, j) and (−6,6)(-6, 6). Let's assign (−3,j)(-3, j) as (x1,y1)(x_1, y_1) and (−6,6)(-6, 6) as (x2,y2)(x_2, y_2).
  3. Apply Slope Formula: Now we plug the values into the slope formula: (6−j)/(−6−(−3))=−2(6 - j) / (-6 - (-3)) = -2.
  4. Simplify Denominator: Simplify the denominator: −6+3=−3-6 + 3 = -3, so we have (6−j)/−3=−2(6 - j) / -3 = -2.
  5. Solve for jj: To find the value of jj, we need to solve for jj in the equation 6−j−3=−2\frac{6 - j}{-3} = -2. We can start by multiplying both sides of the equation by −3-3 to get rid of the denominator: −3×(6−j−3)=−3×−2-3 \times \left(\frac{6 - j}{-3}\right) = -3 \times -2.
  6. Solve for j: To find the value of jj, we need to solve for jj in the equation 6−j−3=−2\frac{6 - j}{-3} = -2. We can start by multiplying both sides of the equation by −3-3 to get rid of the denominator: −3×(6−j−3)=−3×−2-3 \times \left(\frac{6 - j}{-3}\right) = -3 \times -2.This simplifies to 6−j=66 - j = 6.

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 (59)