Question

What is the general form of the equation of the line shown?

y - 2 = 0
y + 2 = 0
x - 2 = 0

Answer 1

the answer is A, because the Y-intersect starts at -2

Answer 2

`2x-y-3=0`

Explanation:

We have been given a graph. We are asked to find the general form of equation of the given line.

We know that general form of equation is in format
`ax+by+c=0`.

First of all, we will write equation of our given line in slope intercept form
`y=mx+b`.

`m=(3--3)/(3-0)`

`m=(3+3)/(3)`

`m=(6)/(3)`

`m=2`

We can see that y-intercept is
`-3`, so our equation in slope-intercept would be:
`y=2x-3`.

`y-2x=2x-2x-3`

`y-2x=-3`

`y-2x+3=-3+3`

`-2x+y+3=0`

`-1(-2x+y+3=0)`

`-1*-2x-1*y-1*3=0`

`2x-y-3=0`

Therefore, our required equation is
`2x-y-3=0`