Question

PLEASE HELP! I WILL MEDAL!

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

The possible answers are:

a. -1/3x-6
b. -1/3x-14
c. 3x-6
d. 3x-14

Answer 1

Firstly, if it's a parallel line what should be its slope ?

Answer 2

Do you how to find?

Answer 3

no

Answer 4

Okey we can write lines either two forms:
ax^2+bx+c or y = mx+n
In first form the slope will be -a/b and in second form m is the slope.
If we organize the equation we get
3x-y=-3
3x=y+3
y=3x-3
So slope should be 3.

Answer 5

Sorry it shoul be 3x=y-3 in second step
Then y=3x+3

Answer 6

so how do you find the answer to the problem?

Answer 7

Okey moving on we found that the slope should be 3.
So as I said before you can write a line like
y=3x+n because we know the slope but we don't know what exact line is.
It says line passes through the point (4,-2)
It should be true for our line
4 is x and -2 is y (x,y)
-2=3*4+n
-2=12+n
n=-14
The line is y=3x-14