How do you find the slope of the line passing through the points (7, -6) and (-13, 4)?

Answer 1

slope#=-1/2#

To find the slope of a line passing through 2 given points use the #color(blue)"gradient formula"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))# where #(x_1,y_1)" and " (x_2,y_2)" are 2 points"#

let # (x_1,y_1)=(7,-6)" and " (x_2,y_2)=(-13,4)#

#m=(4-(-6))/(-13-7)=10/(-20)=-1/2#

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Answer 2

Hazel Anglin

To find the slope of the line passing through the points (7, -6) and (-13, 4), use the formula (m = \frac{y_2 - y_1}{x_2 - x_1}), where (m) represents the slope, (x_1, y_1) are the coordinates of the first point, and (x_2, y_2) are the coordinates of the second point. Substituting the coordinates, the slope is (m = \frac{4 - (-6)}{-13 - 7} = \frac{10}{-20} = -\frac{1}{2}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.