Question

What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
-\dfrac{7}{12}− 12
7
​ minus, start fraction, 7, divided by, 12, end fraction
(Choice B)
B
-\dfrac{12}{7}− 7
12
​ minus, start fraction, 12, divided by, 7, end fraction
(Choice C)
C
\dfrac{12}{7} 7
12
​ start fraction, 12, divided by, 7, end fraction
(Choice D)
D
\dfrac{7}{12} 12
7
​

Answer 1

GIVEN :

What is the slope of the line through the points (-7,-8) and (0,4)

Choose 1 answer:

(Choice A)

A) $\frac{-7}{12}$

(Choice B)

B) $-\frac{12}{7}$

(Choice C)

C) $\frac{12}{7}$

(Choice D)

D) $\frac{7}{12}$

TO FIND :

The slope of the line through the points (-7,-8) and (0,4)

SOLUTION :

​Given points are (-7,-8) and (0,4)

Let $(x_1,y_1)$ and $x_2,y_2)$ be the given points (-7,-8) and (0,4)  respectively.

The formula for the slope of the line through the points is

$m=\frac{y_2-y_1}{x_2-x_1}$

Substitute the points in the above formula we get,

$m=\frac{4-(-8)}{0-(-7)}$

$=\frac{4+8}{0+7}$

$=\frac{12}{7}$

$m=\frac{12}{7}$

⇒ option C) $\frac{12}{7}$ is correct.

∴ the slope of the line through the points (-7,-8) and (0,4)  is $\frac{12}{7}$