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How do you find the slope of the line through the points (1,-2), and (3,-8)?

Answer 1

Abigail Allen

The slope #=-3#

The points are : #(1,-2) = color(blue)(x_1,y_1#

#(3,-8) = color(blue)(x_2,y_2#

Slope is calculated using formula: #(y_2-y_1)/(x_2-x_1)#

#=(-8 - (-2))/(3-1#

#=(-8 + 2)/(2#

#=(-6)/(2#

#=-3#

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Answer 2

Ethan Adkins

To find the slope of the line passing through two points (x₁, y₁) and (x₂, y₂), you can use the formula: slope = (y₂ - y₁) / (x₂ - x₁). Substituting the given points, the slope is calculated as (-8 - (-2)) / (3 - 1) = (-8 + 2) / 2 = -6 / 2 = -3. So, the slope of the line through the points (1, -2) and (3, -8) is -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.