Question

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)

Answer 1

d

Explanation:

Answer 2

`y+6=m(x+2)`

where I would have to look at the table to know
`m`.

Explanation:

Point-slope form of a line is

`y-y_1=m(x-x_1)`

where
`m \text{ is the slope and } (x_1,y_1) \text{ is a point on that line}`

You are given
`(x_1,y_1)=(-2,-6) \text{, but no value for }m`.

So we know we are looking for an equation that looks like this:

`y-(-6)=m(x-(-2))`

If you simplify this looks like:

`y+6=m(x+2)`