Question
Draw the graph of the following linear equations in two variables:
$\frac{\text{x}-2}{3}=\text{y}-3$
$\frac{\text{x}-2}{3}=\text{y}-3$
✓
Answer
We have, $\frac{\text{x}-2}{3}=\text{y}-3$⇒ x - 2 = 3(y - 3)
⇒ x - 2 = 3y - 9
⇒ x = 3y - 9 + 2
⇒ x = 3y - 7 ...(i)
Putting y = 2, we get x = 3(2) - 7 = -1 Putting y = 3, we get x = 3(3) - 7 = 2 Thus, we have the following table giving two points on the line represented by the equation $\frac{\text{x}-2}{3}=\text{y}-3:$ Graph of the equation $\frac{\text{x}-2}{3}=\text{y}-3:$
⇒ x - 2 = 3y - 9
⇒ x = 3y - 9 + 2
⇒ x = 3y - 7 ...(i)
Putting y = 2, we get x = 3(2) - 7 = -1 Putting y = 3, we get x = 3(3) - 7 = 2 Thus, we have the following table giving two points on the line represented by the equation $\frac{\text{x}-2}{3}=\text{y}-3:$ Graph of the equation $\frac{\text{x}-2}{3}=\text{y}-3:$
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