Question

What is the slope of line segment AB?
A) 2/3
B) 3/4
C) 4/3
D) -3/4

Answer 1

D)
`\displaystyle -(3)/(4)`

Explanation:

B[3, −3] and A[−5, 3]

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-3 - 3)/(5 + 3) = -(6)/(8) = -(3)/(4)`

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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.

According to the image we have:

`(x_ {1}, y_ {1}): (-5,3)\\(x_ {2}, y_ {2}): (3, -3)`

Substituting we have:

`m = \frac {-3-3} {3 - (- 5)} = \frac {-6} {3 + 5} = \frac {-6} {8} = - \frac {3} {4}`

Thus, the slope of the line is:

`m = - \frac {3} {4}`

Answer:

`m = - \frac {3} {4}`