Question

Find the slope of the line through (3, 7) and (–1, 4)

Answer 1

`(3)/(4)`

Explanation:

Slope = change in y ÷ change in x

The line passes through (3,7) and (-1,4)

Slope =
`(7 - 4)/(3 - -1)` =
`(3)/(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}}`

According to the data we have the following points:

`(x_ {1}, y_ {1}): (- 1,4)\\(x_ {2}, y_ {2}) :( 3,7)`

Substituting we have:

`m = \frac {7-4} {3 - (- 1)} = \frac {3} {3 + 1} = \frac {3} {4}`

Thus, the slope of the line is
`\frac {3} {4}`

Answer:

`\frac {3} {4}`