What is the slope of the line passing through the following points: # (5,-8) ,(-7, -4)#?

Answer 1

The slope, #m#, is #-1/3#.

The equation to find slope from two points on a line is #m=(y_2-y_1)/(x_2-x_1)#, where #(x_1,y_1)# is one point and #(x_2,y_2)# is the other point.

Let #(5,-8)# be Point 1. Let #(-7,-4)# be Point 2.

Substitute the given values into the equation.

#m=(y_2-y_1)/(x_2-x_1)#

#m=(-4-(-8))/(-7-5)#

Simplify.

#m=(-4+8)/(-12)#

Simplify.

#m=4/(-12)#

Simplify.

#m=-4/12#

Simplify.

#m=-1/3#

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Answer 2

Julia Adams

To find the slope of the line passing through the points (5, -8) and (-7, -4), use the formula: slope = (change in y) / (change in x). So, the slope is calculated as follows: slope = (-4 - (-8)) / (-7 - 5) = (-4 + 8) / (-7 - 5) = 4 / (-12) = -1/3. Therefore, the slope of the line passing through the given points is -1/3.

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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.