Question

Find the slope of the line that passes through the pair of points (–1.75, 14.5) and (–1, 4.4). Round to the nearest hundredth if necessary.

a.2.52

b.–13.47

c.–1.61

d.–0.07

Answer 1

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

Two points are needed through which the line passes:

(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)

Substituting:m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666

Rounding:

m = -13.47

Explanation:

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}}`

Two points are needed through which the line passes:

`(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)`

Substituting:
`m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666`

Rounding:

`m = -13.47`

Answer:

`m = -13.47`