Chapter 2: Q3. (page 74)

Write $y = - 6 x + 4$ in standard form.

Short Answer

Expert verified

The given linear equation written in standard form is $6 x + y = 4$ .

Step by step solution

– State the concept

Any linear equation can be written in the standard form as $A x + B y = C$ , where A, B and C are integers whose greatest common factor is $1$ , $A \geq 0$ and, Aand B are not both zero.

– List the given data

The linear equation $y = - 6 x + 4$ .

– Write in standard form

$y = - 6 x + 4$ (Given equation)

$y + 6 x = - 6 x + 4 + 6 x$ (Add $6 x$ to both sides)

$6 x + y = 4$ (Simplify and rearrange)

Comparing with the standard form $A x + B y = C$ , $A = 6 (\geq 0)$ , $B = 1$ and $C = 4$ .

Clearly, A, B and C are integers whose greatest common factor is 1 because $B = 1$ and, A and B are both non-zero.

So, $6 x + y = 4$ is the standard form of the given linear equation.

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Write $y = - 6 x + 4$ in standard form.

Short Answer

Step by step solution

– State the concept

– List the given data

– Write in standard form

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Write y=-6x+4 in standard form.

Short Answer

Step by step solution

– State the concept

– List the given data

– Write in standard form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Mechanics Maths

Pure Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write $y = - 6 x + 4$ in standard form.