Question

Find the equation of the line that goes through the points (2, 2) and (6, 6).

y = 6x + 2
y = -x
y = 2x + 6
y = x

Answer 1

D

Explanation:

y=6x+2

2=12+2

NO
y=-x

2=-2

NO

y=2x+6

2=4+10

NO

y=x

2=2

6=6

Answer 2

`y=x`

Explanation:

We will use slope-intercept form:

`y=mx+b`

Where
`m=`slope and
`b =`y-intercept

To find the slope we use the slope formula:

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

We plug in the coordinates getting:

`(6-2)/(6-2) =(4)/(4) = 1`

So we have a slope of 1:

`y=(1)x+b`

If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:

`y =x`