Question

What is the slope of the line graphed on the coordinate plane?


plzzz help!!!!

Answer 1

(-2,3) and (2,6)
slope = (6 - 3)/(2+2) = 3/4

answer
slope = 3/4

Answer 2

ANSWER

The slope of the line that has been graphed in the coordinate plane above is

`(3)/(4) .`

EXPLANATION

We can read from the graph that, the straight line passes through the points


`(2,6) \: and \: (-2,3).`

We can determine the slope of the given line using the formula


`m=(y_2-y_1)/(x_2-x_1)`
We can choose the points in any order.

We can choose
`(x_1,y_1) = (2,6)` and

`(x_2,y_2) = (-2,3)`

or

`(x_1,y_1) = (-2,3)` and

`(x_2,y_2) = (2,6)`

We substitute the above points in to the formula to obtain,


`m = (3 - 6)/( - 2 - 2) = ( - 3)/( - 4) = (3)/(4)`

The slope of the line is therefore,


`(3)/(4)`