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spin [16.1K]
2 years ago
13

A student was asked to find the slope of the line through the points (4,8) and (-3,5). His answer,

t/?f=-%5Cfrac%7B3%7D%7B7%7D" id="TexFormula1" title="-\frac{3}{7}" alt="-\frac{3}{7}" align="absmiddle" class="latex-formula">, was incorrect. He showed his work as \frac{5-8}{4-(-3)}=-\frac{3}{7}=-\frac{3}{7}.
What went wrong? Give the correct slope.
Mathematics
1 answer:
evablogger [386]2 years ago
4 0

Answer:

m=\frac{-3}{-7}

Step-by-step explanation:

Given the following question:

Point A = (4, 8) = (x1, y1)
Point B = (-3, 5) = (x2, y2)

In order to find the slope any two points given we use the formula to find slope or rise/run.

m=\frac{y2-y1}{x2-x1}
m=\frac{5-8}{-3-4} =\frac{-3}{-7}
m=\frac{-3}{-7}

The reason why the students answer is incorrect because he substituted incorrectly. More specifically the run part of the formula for slope. The formula for slope goes x2 - x1 which means it should be -3 - 4, not -4 - 3, which will give you the answer -7.

Hope this helps.

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