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  • 08-07-2020
  • Mathematics
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If the graph of the equation y = mx + b is a line passing through the points (6, 13) and (10, 31), what is the value of m? Express your answer as a common fraction.

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Аноним Аноним
  • 08-07-2020

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.

Slope is rise over run. We are given the points of (6, 13) and (10, 31).

[tex]m=\frac{rise}{run}=\frac{31-13}{10-6} =\frac{18}{4} =\huge\boxed{\frac{9}{2}}[/tex]

The slope, or 'm' should be [tex]\frac{9}{2}[/tex].

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