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

2 Answers
smendyka
Mar 30, 2018

See a solution process below:

Explanation:

The formula for find the slope of a line is:

m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))m=y2−y1x2−x1

Where (color(blue)(x_1), color(blue)(y_1))(x1,y1) and (color(red)(x_2), color(red)(y_2))(x2,y2) are two points on the line.

Substituting the values from the points in the problem gives:

m = (color(red)(4) - color(blue)(2))/(color(red)(-2) - color(blue)(4)) = 2/-6 = -1/3m=4−2−2−4=2−6=−13

Jim G.
Mar 30, 2018

"slope "=-1/3slope =−13

Explanation:

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

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)∙xm=y2−y1x2−x1

"let "(x_1,y_1)=(4,2)" and "(x_2,y_2)=(-2,4)let (x1,y1)=(4,2) and (x2,y2)=(−2,4)

rArrm=(4-2)/(-2-4)=2/(-6)=-1/3⇒m=4−2−2−4=2−6=−13

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