Question

Write y=1/6x+5 in standard form using integers Please

Answer 1

The standard form of the line is $6y-x=30$

Step-by-step explanation:

The equation of the line in this problem, written in the point-slope form, is

$y=\frac{1}{6}x+5$ (1)

We want to rewrite it in the standard form with integers, that means in the form

$ax+by=c$

where a, b and c are integer numbers.

We start by manipulating eq.(1), by multiplying both terms of the equation by 6:

$6y = \frac{1}{6}x\cdot 6+5\cdot 6\\6y=x+30$

Now we subtract $-x$ on both sides:

$6y-x = x-x+30$

So we find

$6y-x=30$

Which is the standard form of the line.

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