80.6k views
5 votes
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

User Johnykutty
by
8.1k points

2 Answers

4 votes

Answer:

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:

User Jonathan Tse
by
7.6k points
4 votes

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

User Nylund
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories