Question

Which equation represents a line that passes through the two points in the table

Answer 1

y - 1 = 5/3 (x - 3)

Explanation:

Point 1: (6, 6) or (x
`_(2)`, y
`_(2)`)

Point 2: (3,1) or (x
`_(1)`, y
`_(1)`)

To find the answer we need to find the slope. To do that we need to use the equation

y
`_(2)` - y
`_(1)` / x
`_(2)` - x
`_(1)`

Next, we need the insert the points and the equation will look like this:

6 - 1 / 6 - 3 = 5/3

Now that we have the slope, we need to input numbers into the point-slope-form equation.

The equation is:

y - y
`_(1)` = m (x - x
`_(1)`)

After everything is plugged in it will look like

y - 1 = 5/3 (x - 3)