Question

What is the slope of the line that contains the points (0, 3) and (-2, -9)?

Answer 1

The slope is 6

Explanation:

`color(blue)("Very important comment")`

Reading from the lesser value of `x` to the greater value. So we go from -2 to 0 for `x`. Thus the first point is at `x=-2` and the second point is at `x=0` They have deliberately reversed the order in the question.

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`color(blue)("Answering the question")`

Let point 1 be `P_1->(x_1,y_1)=(-2,-9)`
Let point 2 be `P_2->(x_2,y_2)=(0,3)`
Let the slope be `m`

So the slop is determined by changing from `P_1" to "P_2`

Slope `->("change in up or down")/("change in along") ->(y_2-y_1)/(x_2-x_1)`

`m=(y_2-y_1)/(x_2-x_1)`

`= (3-(-9))/(0-(-2))`

`=(3+9)/(0+2)`

`=12/2`

`=6/1`

`=6`