Question

Choose the slope-intercept equation of the line that passes through the point (6, 4) and is parallel to y = one third x - 3.

Answer 1

Parallel slopes have the same slope. So keep your slope. The only thing you want to change is your x and y terms.

Answer 2

x = 6
y = 4

Now replace.

Answer 3

OR. You can use:

y - y1 = m(x - x1)

We know the points are x = 6 and y = 4, and since the line is parallel, the slope stays the same, which is 1/3

y - 4 = 1/3(x - 6)

Now you just solve the equation for y.

Answer 4

so do i use the first one or second one?

Answer 5

For simplicity, use the second equation. Then just solve for y.

Answer 6

okay i have
y= 1/3 x - 2
now what do i do?

Answer 7

?

Answer 8

y = 1/3x + 6, actually.

Answer 9

Oops. I made a mistake. I read it as positive 3 and not negative.

Answer 10

Your slope is 1/3

Points (6, 4)

Use: y - y1 = m(x - x1)

Plug it in for me.