Select the correct answer from each drop-down menu.The slope of the line passing through the points (7, 5) and (21, 15) is .Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point .
Question
Select the correct answer from each drop-down menu.The slope of the line passing through the points (7, 5) and (21, 15) is .Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point .
Solution
To find the slope of the line passing through the points (7, 5) and (21, 15), we use the formula for slope which is (y2 - y1) / (x2 - x1).
Substituting the given points into the formula, we get:
Slope = (15 - 5) / (21 - 7) = 10 / 14 = 0.714
The slope of another line that is one-third of the slope we just calculated would be:
0.714 / 3 = 0.238
Therefore, the line with a slope that is one-third of the original slope would pass through the origin (0,0) and the point (x, y) where y = 0.238x.
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