Problem 1: Find the slope of the line passing through the points (2,4) and (6,10).*5 points3/413/23Problem 2: Determine the slope of the line containing the points (−1,3) and (5,−1).*5 points-1/3-2/3-1-3/4Problem 3: Find the slope of the line passing through (4,8) and (4,2).*5 points61/61/4undefinedProblem 4: Calculate the slope of the line that goes through (−3,7) and (2,−1).*5 points-8/5-4-8/3-2
Question
Problem 1: Find the slope of the line passing through the points (2,4) and (6,10).*5 points3/413/23Problem 2: Determine the slope of the line containing the points (−1,3) and (5,−1).*5 points-1/3-2/3-1-3/4Problem 3: Find the slope of the line passing through (4,8) and (4,2).*5 points61/61/4undefinedProblem 4: Calculate the slope of the line that goes through (−3,7) and (2,−1).*5 points-8/5-4-8/3-2
Solution
Sure, I can help with that. Here are the solutions to the problems:
Problem 1: The slope of the line passing through the points (2,4) and (6,10) is calculated as (y2 - y1) / (x2 - x1) = (10 - 4) / (6 - 2) = 6 / 4 = 1.5. So, the answer is not in the options.
Problem 2: The slope of the line containing the points (−1,3) and (5,−1) is calculated as (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - (-1)) = -4 / 6 = -2/3. So, the answer is -2/3.
Problem 3: The slope of the line passing through (4,8) and (4,2) is calculated as (y2 - y1) / (x2 - x1) = (2 - 8) / (4 - 4) = -6 / 0. Since division by zero is undefined, the slope of the line is undefined.
Problem 4: The slope of the line that goes through (−3,7) and (2,−1) is calculated as (y2 - y1) / (x2 - x1) = (-1 - 7) / (2 - (-3)) = -8 / 5. So, the answer is -8/5.
Similar Questions
What is the slope of the line passing through the points (2, 5) and (-3, 9)?*1 point4/55/4-4/5-5/4
Problem 1: Find the point-slope form of the equation of a line passing through the point (3,5) with a slope of 2.*5 pointsy-5 = 2(x-3)y-4 = 2(x-3)y-3 = 2(x-3)y-2 = 2(x-3)Problem 2: Determine the point-slope form of the equation of a line with a slope of −3 passing through the point (−1,4).*5 pointsy-4 = -3(x+1)y-4 = -3(x+2)y-4 = -3(x+3)y-4 = -3(x+4)Problem 3: Find the point-slope form of the equation of a line with a slope of 0.5 passing through the point (2,−3).*5 pointsy+3 = 0.5(x-2)y-3 = 0.5(x-2)y+3 = -0.5(x-2)y+3 = 0.5(x+2)Problem 4: Calculate the point-slope form of the equation of a line passing through the point (4,7) with a slope of −1.*5 pointsy-7 = -x+4y+7 = -x+4y-7 = x-4y+7 = -x-4
Fill in the blanks below.Find the slope of the line passing through the points 4, 5 and −4, 7.slope: Find the slope of the line passing through the points −3, 9 and 9, 9.slope: Undefined
Find the slope of the line passing through the points −4, 6 and −3, 8. Undefined
Find the slope of the line passing through the points −−5, 2 and −3, 9.
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