How do you find the slope of a line given the points #(4, 2)# and #(-2, 4)# on the line?

Answer 1

Nathan Axel

#slope=-1/3#

By changing the coordinates of the provided points in the formula, you can determine the slope:

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

#slope=(4-2)/(-2-4)=2/-6=-1/3#

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Answer 2

Jameson Allen

To find the slope of a line given two points ((x_1, y_1)) and ((x_2, y_2)), you can use the formula:

[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} ]

For the points (4, 2) and (-2, 4):

[ x_1 = 4, \quad y_1 = 2, \quad x_2 = -2, \quad y_2 = 4 ]

Plug these into the formula:

[ \text{Slope} = \frac{4 - 2}{-2 - 4} ] [ \text{Slope} = \frac{2}{-6} ] [ \text{Slope} = -\frac{1}{3} ]

So the slope of the line passing through the points (4, 2) and (-2, 4) is (-\frac{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.