Question

What is the slope of the line passing through the following points ? (-1,-3) and (3,1)

Answer 1

1

Explanation:

To calculate the slope of a line, use the following equation:

`(y2-y1)/(x2-x1)`
So, substitute in:

`((-3)-1)/((-1)-3)=(-4)/(-4)=1`

Let's check:

-1, 0, 1, 2, 3

-3, -2, -1, 0, 1

It works!

Answer 2

Answer: m = 1

Explanation:

In order to find the slope, use the following formula:

`\sf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Put in the values and simplify:

`\sf{m=\cfrac{1-(-3)}{3-(-1)}}`

`\sf{m=\cfrac{1+3}{3+1}}`

`\sf{m=\cfrac{4}{4}}`

`\sf{m=1}`

Therefore, m = 1.