Question

I NEED HELP FAST what is y+1=5/6(x-2) in standard form?

Answer 1

`\large\boxed{5x-6y=16}`

Explanation:

The standard form of an equation of a line:

`Ax+By=C`

We have the equation in the point-slope form. Convert:

`y+1=(5)/(6)(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot(5)/(6\!\!\!\!\diagup_1)(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}`