Mathematics: How to write y=-1/2x + 1 in standard form

This is a composite function, which is equivalent to f(g(4))....

How to write y=-1/2x + 1 in standard form - id1217821422, carastudies1686

Ответ:

jaksmmwlqlzm

03.02.2022

Mathematics

Hey there!

ANSWER:

EXPLANATION:

The equation in y=mx+b is $y=-\frac{1}{2}x+1$

To write in standard form, it would look like: Ax+By=C

As you can see, the x and y should be on the same side. You will need to move $-\frac{1}{2}x$ to the other side. When moving a number/variable to the other side, the sign changes, therefore, the negative sign will be removed. It is also the same as adding the opposite of it to both sides.

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

In standard form, there are no fractions, only whole numbers. The fraction can be removed by multiplying it by its opposite. The opposite of $\frac{1}{2}$ is $\frac{2}{1} \rightarrow 2$ .

The entire equation has to be multiplied by 2:

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

x+2y=2

Hope this helps!

$\text{-TestedHyperr}$

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