Step-2

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:
\$ (-3,1) & (2,-5) \$

2

Step

Consider given points as (x_1,y_1) and

\$(x_2,y_2)\$

3

Step

equating the terms

\$ x_1=-3 , y_1=1 , x_2=2 & y_2=-5 \$

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

by simplifying

\$(y - 1) = (-5 - 1) / (2 -(-3))(x -(-3)) \$

6

Step

after simplification

\$ (y - 1) = (-5 - 1) / (2 + 3)(x + 3) \$

7

Step

Simplifying the equation

\$ (y - 1) = (-6) / (5)(x + 3) \$

8

Step

simplifying the equation

\$ 5(y - 1) = -6(x + 3) \$

9

Step

by simplifying

\$ 5y - 5 = -6x - 18 \$

10

Step

after simplifying the equation

\$ 6x + 5y - 5 + 18 = 0 \$

11

Step

after simplification

\$ 6x + 5y + 13 = 0 \$

12

Answer

B


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