Question

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

Answer 1

Answer:

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Step-by-step explanation:

Slope is defined as the steepness of a line.

Slope is denoted by m and the formula for calculating slope is:

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

Here

(x1,y1) and (x2,y2) are coordinates of the points through which the line passes

Now,

For (2, 4) and (5, 1):

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

NEGATIVE

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

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

POSITIVE

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

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

UNDEFINED

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

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

ZERO

Hence,

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero