Question

What is the slope of (2,8) (0,2) (3,-7)

Answer 1

We have that the equation of a line is:

y = m + bx

where, m is the slope, but to know the slope we have a formula that is:

m =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

We have 3 points of the line:

(2,8); (0,2); (3,-7)

When we want to know the slope we need two points and they can be any two points in any order, so we can say we are going to use:

Point 1:

(2,8)

Point 2:

(0,2)

`y_(1)` = 8 ;
`y_(2)` = 2

`x_(1)` =2 ;
`x_(2)` =0

Now we substitute the values in the formula for m:

m =
`((2-8))/((0-2))`

m =
`(-6)/(-2)`

m = 3

So, the slope is 3.