The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests. Math Scores vs. Hours Spent Studying A graph titled math scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (2.5, 60) and (3.5, 70). Science Scores vs. Hours Spent StudyingA graph titled science scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 40) and (3.5, 50). Spelling Scores vs. Hours Spent Studying A graph titled spelling scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 80) and (4.5, 90). History Scores vs. Hours Spent Studying A graph titled history scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 50) and (2, 70). Which graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying

This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps

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MrRoyal MrRoyal · Answer 2 · 2025-03-30T18:58:15-04:00

The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

What is the slope of a line?

The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values

Check below on how the trend line with the least slope can be determined

From the question, we have:

Line 1: (2.5, 60) and (3.5, 70)
Line 2: (0.5, 40) and (3.5, 50)
Line 3: (0.5, 80) and (4.5, 90).
Line 4: (0.5, 50) and (2, 70).

The slope (m) is calculated using:

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m₁ = (70 - 60)/(3.5 - 2.5) = 10
m₂ = (50 - 40)/(3.5 - 0.5) = 3.3
m₃ = (90 - 80)/(4.5 - 0.5) = 2.5
m₄ = (70 - 50)/(2 - 0.5) = 13.3

The line 3 has the least slope

i.e. m₃ = 2.5

Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph