What is the slope of the line passing through the following points: (2,-6); (-2,-1)(2,−6);(−2,−1)?

2 Answers
Jim G.
Jun 15, 2018

"slope "=-5/4slope =−54

Explanation:

"calculate the slope m using the "color(blue)"gradient formula"calculate the slope m using the gradient formula

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

"let "(x_1,y_1)=(2,-6)" and "(x_2,y_2)=(-2,-1)let (x1,y1)=(2,−6) and (x2,y2)=(−2,−1)

m=(-1-(-6))/(-2-2)=5/(-4)=-5/4m=−1−(−6)−2−2=5−4=−54

sankarankalyanam
Jun 15, 2018

color(crimson)("Slope of the line " m = -(5/4)Slope of the line m=−(54)

Explanation:

"Slope of line through two points is given by "Slope of line through two points is given by

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

(x_1, y_1) = (2, -6), (x_2, Y-2) = (-2, -1)(x1,y1)=(2,−6),(x2,Y−2)=(−2,−1)

color(crimson)("Slope of the line " m = (-1 + 6) / (-2 - 2) = -(5/4)Slope of the line m=−1+6−2−2=−(54)

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