Question

Line GH contains points G(–2, 6) and H(5, –3). What is the slope ofGH ?

Answer 1

The slope formula is: m= (y2 - y1) / (x2 - x1)

Therefore, m= (-3-6) / (5- -2)
m= (-9)/(7)
m= -9/7 (Go up 9 spots, to the left 7 spots) OR m= -1.29 (Rounded)

Answer 2

The slope of the line is -9/7.

Explanation:

When we want to find the slope of any line, the main idea is to find the coordinate of any two points on the line. In this case that part of the job is already done, because we have the coordinates of the point G and H.

The next step is to use the formula for the slope of a line, this is

`m = (y_2-y_1)/(x_2-x_1),`

where
`m` stands for the slope, and
`(x_1,y_1)` and
`(x_2, y_2)` are the coordinates of the two points.

In this case, let us consider
`(x_1,y_1)=(-2,6)` and
`(x_2,y_2)=(5,-3)`. So,

`m = (-3-6)/(5-(-2)) = (-9)/(5+2) = -(9)/(7).`