Question

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

Answer 1

Answer:

D) $\displaystyle -\frac{3}{4}$

Step-by-step explanation:

B[3, −3] and A[−5, 3]

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 3}{5 + 3} = -\frac{6}{8} = -\frac{3}{4}$

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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:

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