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:

What is the slope of the line through (2,-2) and (9,3) ? Choose 1 answer: (A) (5)/(7) (B) -(5)/(7) (C) (7)/(5) (D) -(7)/(5)

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}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Find the slope from two pointsright chevron icon

Full solution

Q. 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}
  1. Identify the slope formula: Identify the slope formula.\newlineThe slope of a line through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlineSlope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}
  2. Substitute the given points: Substitute the given points into the slope formula.\newlineWe have the points (2,−2)(2, -2) and (9,3)(9, 3), so x1=2x_1 = 2, y1=−2y_1 = -2, x2=9x_2 = 9, and y2=3y_2 = 3.\newlineSlope = 3−(−2)9−2\frac{3 - (-2)}{9 - 2}
  3. Calculate the change in y: Calculate the change in y (y2−y1)(y_2 - y_1).\newlineChange in y = 3−(−2)=3+2=53 - (-2) = 3 + 2 = 5
  4. Calculate the change in x: Calculate the change in x x2−x1x_2 - x_1.\newlineChange in x = 9−2=79 - 2 = 7
  5. Calculate the slope: Calculate the slope using the changes in y and x.\newlineSlope = Change in yChange in x=57 \frac{\text{Change in } y}{\text{Change in } x} = \frac{5}{7}
  6. Match the calculated slope: Match the calculated slope to the correct answer choice.\newlineThe calculated slope is 57\frac{5}{7}, which corresponds to answer choice (A).

More problems from Find the slope from two points

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 (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

Question
warming. As of 20202020 , China is the largest emitter of carbon dioxide gas in the world, with 1010,668668 million metric tons. The US is the secondlargest emituer of CO2 \mathrm{CO}_{2} with 44,713713 million metric tons. India is the thirdlargest emitter, with 22,442442 million metric tons of total carbon dioxide emissions produced. Russia is the fourth-largest emitting 11,577577 million metrictons.\newlineNow, complete the following on A44-sized sheets-\newlinea. Draw a bar graph to represent the data given, taking 1 cm−1000 1 \mathrm{~cm}-1000 metric tons.
Get tutor helpright-arrow

Posted 9 hours ago

View all (15)