Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Find the equation of the line passes through the points |
Grade: 9-a Lesson: S2-L5 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the equation of the line passes through the points: |
|
2 |
Step |
Consider given points as (x_1,y_1) and |
\$(x_2,y_2)\$ |
3 |
Step |
equating the terms |
\$ x_1=-4 , y_1=-3 , x_2=-6 & y_2=-8 \$ |
4 |
Formula: |
Equation of line passing through two points is |
\$(y - y_1) = (y_2 - y_1) / (x_2 - x_1)(x - x_1)\$ |
5 |
Step |
substuting the values |
\$ (y -(-3)) = (-8 -(-3)) / (-6 -(-4))(x -(-4)) \$ |
6 |
Step |
Simplifying the equation |
\$ (y + 3) = (-8 + 3) / (-6 + 4)(x + 4) \$ |
7 |
Step |
simplyfying the equation |
\$ (y + 3) = (-5) / (-2)(x + 4) \$ |
8 |
Step |
simplyfying the equation |
\$ -2(y + 3) = -5(x + 4) \$ |
9 |
Step |
by simplyfying |
\$ -2y - 6 = -5x - 20 \$ |
10 |
Step |
after simplyfying |
\$ 5x - 2y - 6 + 20 = 0 \$ |
11 |
Step |
after simplyfying |
\$ 5x - 2y + 14 = 0 \$ |
12 |
Answer |
C |
|
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