Question

What is the slope of the line passing through the following points: `(4,7) , (-6,1)`?

Answer 1

`3/5`

Explanation:

`y-y_1=m(x-x_1)`

`(7-1)=m(4-(-6))` `y` is the y-coordinate of the point on the right. `y_1` is the y-coordinate of the point on the left. `x` is the x-coordinate of the point on the right. `x_1` is the x-coordinate of the point on the left.

`m=(7-1)/(4+6)` m is the gradient, and is the change in y over the change in x.

Therefore, `m=6/10`, dividing top and bottom by 2 gives a simpler fraction: `3/5`