Question

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

Answer 1

Answer:

D

Step-by-step 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

Answer:

$y=x$

Step-by-step 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:

$\frac{y_2-y_1}{x_2-x_1}$

We plug in the coordinates getting:

$\frac{6-2}{6-2} =\frac{4}{4} = 1$

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:

$y =x$