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What is the slope of the line passing through the following points: # (4, 2) , (-2, 4)#?

Answer 1

Eli Assouline

#"slope "=-1/3#

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

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

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

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

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Answer 2

Kennedy Adams

See a solution process below:

The following is the formula to find a line's slope:

#m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points on the line.

Changing the values from the problem's points yields:

#m = (color(red)(4) - color(blue)(2))/(color(red)(-2) - color(blue)(4)) = 2/-6 = -1/3#

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Answer 3

Kennedy Adams

The slope of the line passing through the points (4, 2) and (-2, 4) 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.