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Title: Find the equation of a line passes through the point and origin

Grade: 9-a Lesson: S2-L7

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 point and origin: \$ (0,0),(6,2) \$
2	Formula:	Consider given points as \$(x_1,y_1)\$ and \$(x_2,y_2)\$	\$ x_1=0,y_1=0 and x_2=6,y_2=2 \$
3	Hint	Using Two point form : \$(y - y_1) = (y_2 - y_1) / (x_2 - x_1)(x - x_1)\$	\$ (y - 0) = (2 - 0) / (6 - 0)(x - 0) \$
4	Step	Simplifying the equation	\$ y = \cancel(2)^1 /\cancel(6)^3 x \$
5	Step	After Simplifying the equation	\$ y = 1 /3 x \$
6	Step	Move 3 to Right side	\$ 3y = x \$
7	Step	Converting to the equation form	\$ x - 3y = 0 \$
8		Answer	B

Step

Type

Explanation

Answer

Problem

Find the equation of the line passes through the point and origin:
\$ (0,0),(6,2) \$

Formula:

Consider given points as \$(x_1,y_1)\$ and \$(x_2,y_2)\$

\$ x_1=0,y_1=0 and x_2=6,y_2=2 \$

Hint

Using Two point form : \$(y - y_1) = (y_2 - y_1) / (x_2 - x_1)(x - x_1)\$

\$ (y - 0) = (2 - 0) / (6 - 0)(x - 0) \$

Step

Simplifying the equation

\$ y = \cancel(2)^1 /\cancel(6)^3 x \$

Step

After Simplifying the equation

\$ y = 1 /3 x \$

Step

Move 3 to Right side

\$ 3y = x \$

Step

Converting to the equation form

\$ x - 3y = 0 \$

Answer