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How do you find the slope of A(4, -1) and B(0, 2)?

Answer 1

Avery Alexander

#"slope "=-3/4#

#"use the gradient formula for color (blue) to calculate the slope m."#

#•color(white)(x)m=(x_2-x_1)/(y_2-y_1)#

#"let "x_2,y_2)=(0,2)" and "(x_1,y_1)=(4,-1)" in

#m=3/(-4)=-3/4# and (2-(-1))/(0-4)=#

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Answer 2

Isaiah Anthony

To find the slope of the line passing through points A(4, -1) and B(0, 2), you can use the slope formula:

slope = (change in y) / (change in x)

Substitute the coordinates of the two points into the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Where:

(x₁, y₁) = (4, -1) (coordinates of point A)
(x₂, y₂) = (0, 2) (coordinates of point B)

Then, calculate:

slope = (2 - (-1)) / (0 - 4)

Simplify:

slope = (2 + 1) / (-4)

slope = 3 / -4

So, the slope of the line passing through points A(4, -1) and B(0, 2) is -3/4.

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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.