Chapter 4: Q34. (page 272)

Write the given equation in standard form.
$y - 9 = - \frac{4}{5} (x + 2)$

Short Answer

Expert verified

The equation of the line in standard form is $4 x + 5 y = 37$ .

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, $a, b$ and, $c$ are the real numbers.

Step 2. Change the equation in standard form.

The equation is given by,

$\begin{matrix} y - 9 = - \frac{4}{5} (x + 2) \\ 5 (y - 9) = - 4 (x + 2) \\ 5 y - 45 = - 4 x - 8 \\ 5 y + 4 x = - 8 + 45 \\ 4 x + 5 y = 37 \end{matrix}$

This equation is in standard form $a x + b y = c$ , where $a = 4, b = 5$ and $c = 37$ .

Therefore, the equation of the line in standard form is $4 x + 5 y = 37$ .

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Write the given equation in standard form.
$y - 9 = - \frac{4}{5} (x + 2)$

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−9=−45(x+2)

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.
$y - 9 = - \frac{4}{5} (x + 2)$