Question

Determine the slope of the line that passes through (-11,-8) and (6,16)

Answer 1

To find the slope of a line given two of its points do this:
Subtract the y-coordinates.
Subtract the x-coordinates.
Divide the first subtraction by the second subtraction.
Make sure you dot he two subtractions in the same order.

Answer 2

Let's start.
Can you subtract the y-coordinates and show what you get?

Answer 3

\[\frac{ y_2-y_1 }{ x_2-x_1 }\]
In your case
\[(x_1,y_1)=(-11,-8)\]
\[(x_2,y_2)=(6,16)\]
Can you fill in the information?

Answer 4

\[y_2-y_1=16-(-8)=16+8=24\]
\[x_2-x_1=6-(-11)=6+11=17\]
\[\frac{ 24 }{ 17 }\]
It can't be simplified because 17 is a prime number meaning it can only be divided by 1 and itself/