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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: \$ (1,2) & (3,4) \$
2	Step	Consider given points as (x_1,y_1) and	\$(x_2,y_2)\$
3	Step	equating the values	\$ x_1=1 , y_1=2 , x_2=3 & y_2=4 \$
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 simplyfying	\$ (y - 2) = (4 - 2) / (3 - 1)(x - 1) \$
6	Step	Simplifying the equation	\$ (y - 2) = \cancel(2)^1 / \cancel(2)^1(x - 1) \$
7	Step	after simplyfying	\$ y - 2 = x - 1 \$
8	Step	move constants to one side	\$ 1 - 2 = x - y \$
9	Step	by simplfying	\$ x - y = -1 \$
10	Step	after simplfying	\$ x - y + 1 = 0\$
11		Answer	A

Step

Type

Explanation

Answer

Problem

Find the equation of the line passes through the points:
\$ (1,2) & (3,4) \$

Step

Consider given points as (x_1,y_1) and

\$(x_2,y_2)\$

Step

equating the values

\$ x_1=1 , y_1=2 , x_2=3 & y_2=4 \$

Formula:

Equation of line passing through two points is

\$(y - y_1) = (y_2 - y_1) / (x_2 - x_1)(x - x_1)\$

Step

by simplyfying

\$ (y - 2) = (4 - 2) / (3 - 1)(x - 1) \$

Step

Simplifying the equation

\$ (y - 2) = \cancel(2)^1 / \cancel(2)^1(x - 1) \$

Step

after simplyfying

\$ y - 2 = x - 1 \$

Step

move constants to one side

\$ 1 - 2 = x - y \$

Step

by simplfying

\$ x - y = -1 \$

Step

after simplfying

\$ x - y + 1 = 0\$

Answer