Question

Which equation shows y=-x+4 is in standard form?

Answer 1

Answer:

(c) $x + 2y = 8$

Step-by-step explanation:

The question is missing some important data which is necessary to solve it.

The correct question is as follows:

Which equation shows $y=-\frac{1}{2}x+4$ is in standard form?

(a) $2x-y=8$

(b) $x + 2y=-8$

(c) $x + 2y = 8$

(d) $2x + y = 8$

Solution:

Given equation:

$y=-\frac{1}{2}x+4$

To convert the given equation to standard form.

The standard form of a linear equation is given by:

$Ax+By=c$

where

A is a positive integer  and B and C are integers

We have:

$y=-\frac{1}{2}x+4$

Multiply both sides by 2  to remove the fraction

$2y=(-\frac{1}{2}x\times 2)+(4\times 2)$

$2y=-x+8$

Adding $x$ both sides

$x+2y=x-x+8$

$x+2y=8$

∴ The standard form of the equation is ⇒ $x+2y=8$