SaiBook.us SAT-1

Home Course Section

Schedule Admission Social

Step-1

Title: Slopes & Lines

Grade: 1400-a Lesson: S3-L4

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the slope of the line joining the points (−4, −4) and (1, 6).
2	Step	Given, (x1, y1) and (x2, y2) are the coordinates of the two points.	(- 4, - 4) & (1, 6)
3	Formula:	To find the slope (m) of the line joining two points (x1, y1) & (x2, y2), you can use the formula	m = \$(y2 - y1)/(x2 - x1)\$
4	Step	Substitute the values into the slope formula	m = \$(6 - (-4))/(1 - (-4)\$
5	Step	Calculate the slope(m)	m = \$(6 + 4)/(1 + 4)\$ m = \$10/5\$ m = 2
6	Step	So, the slope of the line joining the points (-4, -4) & (1, 6) is 2.
7	SumUp	Can you summarize what you’ve understood in the above steps?
8	Choice.A	Incorrect, as the slope is 2	0
9	Choice.B	Correct, as the slope is indeed 2	2
10	Choice.C	Incorrect, as the slope is 2	3
11	Choice.D	Incorrect, as the slope is 2	1
12	Answer	Option	B
13	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the slope of the line joining the points (−4, −4) and (1, 6).

Step

Given, (x1, y1) and (x2, y2) are the coordinates of the two points.

(- 4, - 4) & (1, 6)

Formula:

To find the slope (m) of the line joining two points (x1, y1) & (x2, y2), you can use the formula

m = \$(y2 - y1)/(x2 - x1)\$

Step

Substitute the values into the slope formula

m = \$(6 - (-4))/(1 - (-4)\$

Step

Calculate the slope(m)

m = \$(6 + 4)/(1 + 4)\$

m = \$10/5\$

m = 2

Step

So, the slope of the line joining the points (-4, -4) & (1, 6) is 2.

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

Incorrect, as the slope is 2

Choice.B

Correct, as the slope is indeed 2

Choice.C

Incorrect, as the slope is 2

Choice.D

Incorrect, as the slope is 2

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?