Question

What is the slope of the line through (1, 9) and (–3, 16)?

Answer 1

-7/4.

Explanation:

This is the difference in the y coordinates / corresponding difference in the x coordinates.

here it is (16 - 9) / (-3-1)

= 7 / -4

= -7/4.

Answer 2

For this case we have that by definition, the slope of a line is given by:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}`

Where:

`(x_ {1}, y_ {1})` and
`(x_ {2}, y_ {2})`are two points through which the line passes.

We have as data that:

`(x_ {1}, y_ {1}) :( 1,9)\\(x_ {2}, y_ {2}): (- 3,16)`

Substituting we have:

`m = \frac {16-9} {- 3-1} = \frac {7} {- 4} = - \frac {7} {4}`

Thus, the slope of the line is
`- \frac {7} {4}`

Answer:

`m = - \frac {7} {4}`