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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),(8,-4) \$
2	Formula:	Consider given points as \$(x_1,y_1)\$ and \$(x_2,y_2)\$	\$ x_1=0,y_1=0 and x_2=8,y_2=-4 \$
3	Hint	Using Two point form : \$(y - y_1) = (y_2 - y_1) / (x_2 - x_1)(x - x_1)\$	\$ (y - 0) = (-4 - 0) / (8 - 0)(x - 0) \$
4	Step	Simplifying the equation	\$ y = -\cancel4^1 /\cancel8^2 x \$
5	Step	After Simplifying the equation	\$ y = -1/2x \$
6	Step	Move 2 to Right side	\$ 2y = -x \$
7	Step	Converting to the equation form	\$ x + 2y = 0 \$
8	Step	Answer	C

Step

Type

Explanation

Answer

Problem

Find the equation of the line passes through the point and origin:
\$ (0,0),(8,-4) \$

Formula:

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

\$ x_1=0,y_1=0 and x_2=8,y_2=-4 \$

Hint

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

\$ (y - 0) = (-4 - 0) / (8 - 0)(x - 0) \$

Step

Simplifying the equation

\$ y = -\cancel4^1 /\cancel8^2 x \$

Step

After Simplifying the equation

\$ y = -1/2x \$

Step

Move 2 to Right side

\$ 2y = -x \$

Step

Converting to the equation form

\$ x + 2y = 0 \$

Step

Answer