Question

Consider the line that passes through each pair of given points, and decide what type of slope the line has.

Answer 1

Answer:b

Step-by-step explanation:

Answer 2

Answer:

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

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

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

(2, 4) and (5, 1)

$m = \frac{1-4}{5-2} = \frac{-3}{3} =-1$

The slope is negative.

(3,5) and (-1,2)

$m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}$

The slope is positive

(-7, 8) and (-7,0)

$m = \frac{0-8}{-7+7} = \frac{-8}{0}$

division by zero makes the slope undefined.

(6.-3) and (4, -3)

$m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0$

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero