Chapter 4: Q33. (page 272)

Write the given equation in standard form.
$y + 4 = \frac{1}{2} (x - 3)$

Short Answer

Expert verified

The equation of the line in standard form is $x - 2 y = 11$ .

Step by step solution

Step 1. Standard form of the linear equation:

The standard form of an equation of a line is given by,

$a x + b y = c$

Where, localid="1647423035007" $a, b$ and,localid="1647423040808" $c$ are the real numbers.

Step 2. Change the equation in standard form.

The equation is given by,

$\begin{matrix} y + 4 = \frac{1}{2} (x - 3) \\ 2 (y + 4) = 1 (x - 3) \\ 2 y + 8 = x - 3 \\ x - 2 y = 8 + 3 \\ x - 2 y = 11 \end{matrix}$

This equation is in standard formlocalid="1647423004159" $a x + b y = c$ , wherelocalid="1647423011568" $a = 1, b = - 2$ andlocalid="1647423017566" $c = 11$ .

Therefore, the equation of the line in standard form islocalid="1647423024611" $x - 2 y = 11$ .

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Write the given equation in standard form.
$y + 4 = \frac{1}{2} (x - 3)$

Short Answer

Step by step solution

Step 1. Standard form of the linear equation:

Step 2. Change the equation in standard form.

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Write the given equation in standard form.y+4=12(x−3)

Short Answer

Step by step solution

Step 1. Standard form of the linear equation:

Step 2. Change the equation in standard form.

One App. One Place for Learning.

Most popular questions from this chapter

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Write the given equation in standard form.
$y + 4 = \frac{1}{2} (x - 3)$