Question

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

Answer 1

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"`