Question

What is the slope of a line that passes through the points (5,-3) and (13, -9)

Answer 1

Explanation:

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

so, we see

x changes by +8 (from 5 to 13).

y changes by -6 (from -3 to -9).

so, the slope is -6/+8 = -3/4

Answer 2

Hello.

Let's find the slope using the slope formula:

`\mathrm{\displaystyle(y2-y1)/(x2-x1) }`

`\mathrm{\displaystyle(-9-(-3))/(13-5) }`

`\mathrm{\displaystyle(-9+3)/(13-5) }`

`\mathrm{\displaystyle(-6)/(8) }`

The fraction can be simplified:

`\mathrm{\displaystyle-(3)/(4) }`

Therefore, the slope is

`\mathrm{\displaystyle-(3)/(4) }`

I hope it helps.

Have a nice day.

`\boxed{imperturbability}`