Question

Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether the line through the points​ rises, falls, is​ horizontal, or is vertical.

(8,3) (9,8)

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.
The slope is ?
B.
The slope is undefined.

Indicate whether the line through the points​ rises, falls, is​ horizontal, or is vertical. Choose the correct answer below.

A.
The line rises from left to right.
B.
The line is horizontal.
C.
The line falls from left to right.
D.
The line is vertical.

Answer 1

Answer to Q1:

A. The slope is 5.

Explanation:

From question statement , we observe that

Two point passing through the line are given.We have to find slope of line.

(x₁,y₁) = (8,3) and (x₂,y₂) = 9,8)

Slope = ?

The formula to find slope of line is:

slope = y₂-y₁ / x₂-x₁

Putting given values in above formula, we have

slope = 8-3 / 9-8

slope = 5 / 1

slope = 5 which is the answer.

Answer to Q2:

Choice A is the answer.

Explanation:

Slope of line tells the behaviour of line.

If slope is positive . the lines rises from left to right.

If slope is negative, the line falls from left to right.

A zero slope is slope of horizontal line.

A undefined slope is slope of vertical line.

Slope of the given line is 5.

Hence, slope is positive. It means the graph of the line start from the left and goes toward the right.

Hence , choice A is correct answer.

Answer 2

QUESTION A

The given points are

`(x_1,y_1)=(8,3)` and
`(x_2,y_2)=(9,8)`

The slope can be found using the formula;

`m=(y_2-y_1)/(x_2-x_1)`

We substitute the point to obtain;

`m=(8-3)/(9-8)`

This simplifies to

`m=(5)/(1) =5`

Therefore the slope is 5.

QUESTION 2

A positive slope indicates a rising line

A negative slope indicates a rising line

A zero slope means the line is horizontal.

An undefined slope means the line is vertical.

The correct answer is

A. The line rises from left to right.