How do you find the slope of the line that passes through the points G(-6,-1), H(4,1)?

1 Answer
Dec 1, 2016

The slope is #1/5#

Explanation:

When determining the slope (gradient) you read from left to right on the x-axis

point G has #x=-6# and point H has #x=4#

So we read form G to H

Let the first point be #G ->(x_1,y_1) = (-6,-1)#
Let the second point be #H->(x_2,y_2)=(4,1)#
Let the gradient be #m#

Slope (gradient) = #m=("change in up or down" ->" y-axis")/("change in along "->" x-axis")#

Reading left to right #m=(y_2-y_1)/(x_2-x_1) = ( 1-(-1))/(4-(-6)) = 2/10 = 1/5 #

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Note that #" "-(-"some number") = +"some number"#