Question

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

(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope

Answer 1

Answer:b

Explanation:

Answer 2

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

Explanation:

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

Slope is given by the formula:

`m = (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 = (1-4)/(5-2) = (-3)/(3) =-1`

The slope is negative.

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

`m = (2-5)/(-1-3) = (-3)/(-4) = (3)/(4)`

The slope is positive

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

`m = (0-8)/(-7+7) = (-8)/(0)`

division by zero makes the slope undefined.

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

`m=(-3+3)/(4-6) = (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