Chapter 2: Q8. (page 65)

Write each equation in standard form. Identify $A, B$ and $C$ .
$y = \frac{2}{3} x + 1$

Short Answer

Expert verified

The required values are $A = 2, B = - 3, C = - 3$ .

Step by step solution

– Standard form of a linear equation.

The standard form of a linear equation is $A x + B y = C$ , where $A \geq 0, A$ and B are not both zero.

– Rewrite the given linear equation in the standard form.

The given equation is:

$\begin{matrix} y = \frac{2}{3} x + 1 \\ y = \frac{2 x + 3}{3} \end{matrix}$

Multiply both sides by 3.

$3 y = 2 x + 3$

Subtract 3y and 3 from both sides.

$\begin{matrix} 3 y - 3 y - 3 = 2 x + 3 - 3 y - 3 \\ - 3 = 2 x - 3 y \end{matrix}$

Interchange both sides.

$2 x - 3 y = - 3$

– Find the required values.

Now compare the equation $2 x - 3 y = - 3$ with the standard form of the linear equation $A x + B y = C$ to find the values of $A, B, C$ .

$\begin{matrix} A = 2 \\ B = - 3 \\ C = - 3 \end{matrix}$

Thus, the required values are $A = 2, B = - 3, C = - 3$ .

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Write each equation in standard form. Identify $A, B$ and $C$ .
$y = \frac{2}{3} x + 1$

Short Answer

Step by step solution

– Standard form of a linear equation.

– Rewrite the given linear equation in the standard form.

– Find the required values.

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Column A	Column B
The slope of linem	1

Write each equation in standard form. Identify A,B and C.y=23x+1

Short Answer

Step by step solution

– Standard form of a linear equation.

– Rewrite the given linear equation in the standard form.

– Find the required values.

One App. One Place for Learning.

Most popular questions from this chapter

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Write each equation in standard form. Identify $A, B$ and $C$ .
$y = \frac{2}{3} x + 1$