Question

Write the equation of the line that is parallel to the line 3x - y = -3 and passes through the point (4, -2).

If you could walk me through to the answer with steps that'd be great!!! THANK YOU

Answer 1

A. y = -one thirdx - 6
B. y = -one thirdx - 14
C. y = 3x - 6
D. y = 3x - 14

Answer 2

a parallel line will have the same slope.
So we have to find the slope in the equation 3x - y = -3.
To do this, we will put the equation in y = mx + b form, where the number in the m position is the slope.
3x - y = -3 -- subtract 3x from both sides
-y = -3x - 3 -- now multiply by -1 to make y positive
y = 3x + 3
the number in the m position is 3, therefore the slope is 3.
You still with me ?

Answer 3

we will be using the same slope, 3.

Now we will use y = mx + b
slope(m) = 3
(4,-2) x = 4 and y = -2
we will now sub and solve for b
y = mx + b
-2 = 3(4) + b
-2 = 12 + b -- subtract 12 from both sides
-2 - 12 = b
-14 = b
so our parallel equation is : y = 3x - 14

do you have any questions ?

Answer 4

Yes how did you get -14?

Answer 5

I used my points (4,-2) and my slope 3 and subbed it into y = mx + b form to solve for b, the y intercept.
If you will look at my post that I posted, it shows how I got -14. Do you still not understand ?
Because there is another way to do this, if you want me to show you

Answer 6

do you need me to show you the other way ?

Answer 7

If it isn't too much trouble, yes.

Answer 8

you will still need to find the slope of the equation, which is 3.
We now have the slope and a set of points (4,-2).
we can use the point-slope formula : y - y1 = m(x - x1)
slope(m) = 3
(4,-2) x1 = 4 and y1 = -2
now we will sub this into the formula
y - y1 = m(x - x1)
y - (-2) = 3(x - 4) -- distribute through the parenthesis
y + 2 = 3x - 12 -- subtract 2 from both sides
y = 3x - 12 - 2 -- combine like terms
y = 3x - 14

either way you do it, you will arrive at the same answer

Answer 9

if you still have questions, just ask and I will explain the best I can :)