Mathematics
KaranBurzlaff
36

What is the slope of the line passing through the points (1, –5) and (4, 1)?

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(2) Answers
kingavisingh

[latex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\ m=\dfrac{1-(-5)}{4-1}\\ m=\dfrac{6}{3}\\ m=2[/latex]

HerschelLaney86

The formula for slope (the steepness of a line, it's also called the rate of change) is [latex] \frac{y_{2}-y_{1} }{x_{2}-x_{1}} [/latex]. This means that the y value in the second point (1) minus the y value in the first point (-5) divided by the x value in the second point (4) minus the x value in the first point (1) will get you the slope. Now we can figure it out: [latex]m(slope)= \frac{1-(-5)}{4-1} \\ m= \frac{6}{3} \\ m=2 [/latex] The slope is 2.

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