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What is y = − 3/10 x − 8 written in standard form?

1 Answer

3 votes

Answer:

3x + 10 y = -80

Explanation:

We are given the equation y = −3/10x − 8 and we want to write it in standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.

The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.

So, to start, we can add 3/10x to both sides.

y = -3/10x - 8

+3/10x +3/10x

_______________

3/10x + y = - 8

Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).

So, we need to clear the fraction.

Multiply both sides by 10.

10(3/10x + y) = 10(-8)
3x + 10y = -80

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