Question

What is the equation of the line in the following graph? 1)y=x+2

2)y=-x-2
3)y=x-2
4)2x-2

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have two points (2, 0) and (-2, -4). Substitute:

`m=(-4-0)/(-2-2)=(-4)/(-4)=1`

Therefore we have the equation of a line

`y=1x+b\to y=x+b`

Put the coordinates of the point (2, 0) to the equation:

`0=2+b` subtract 2 from both sides

`-2=b\to b=-2`

Answer:
`\boxed{y=x-2}\to\boxed{3)}`