How to find the slope of a line containing (8,5) (-4,7)?

Answer 1

Given any two points on a straight line, #(x_1,y_1)# and #(x_2,y_2)# the slope is defined as #(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)#

For the given points #(8,5)# and #(-4,7)# we have slope #= (7-5)/((-4)-8) = 2/(-12) = -1/6#

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Answer 2

Kennedy Adams

The #Rise# is the Difference of the Y coordinates of any two points on the line And the #Run# is the Difference of the X coordinates of those two points

#Slope = (7-5)/(-4-8)=2/-12=-1/6#

The slope of the line passing through points # (8,5)# and #(-4,7)# is #color(green)(-1/6#

graph{y=(-x/6)+(38/6) [-16.01, 16.02, -8, 8.03]}

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Answer 3

Abigail Allen

To find the slope of a line containing the points (8,5) and (-4,7), you use the formula: slope = (change in y) / (change in x). Substitute the coordinates into the formula: slope = (7 - 5) / (-4 - 8) = 2 / (-12) = -1/6. Therefore, the slope of the line is -1/6.

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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.