# Algebra

posted by .

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2).

This is what I got. Is this correct?

y = –3x + 10

• Algebra -

Yes!

• Algebra -

Is my evvaluation correct?

y=mx+b
3x + y = 5
y = -3x+5
y = -2
m = -3
x = 4
b = unknown

Solve For b:

y = -3x + b
-2 = -3(4) + b
-2 = -12 + b
-12 + 10 = -2
10=b

To Check:
y = -3x + b
-2 = -3(4) + b
-2 = -12 + b
-12+10 = b
10 = b

-2 = -3(4) + b
-2 = -12 + 10
-12+10 = -2

b = 10

• Algebra -

A real easy way to do this question is to realize that since they have the same slope, the equations must differ only in the constant.
So let the new equation be
3x + y = c
plug in the point (4,-2)
12 - 2 = c = 10

so your equation is 3x + y = 10

[ BTW, had it asked for a perpendicular line then my opening new equation would have been
x + 3y = c
(notice the slopes would be opposite reciprocals) ]

• Algebra -

So my work is correct? Thanks for the help!

## Similar Questions

1. ### algebra

identify the equation of the line through (-1,-4) and parallel to y=-6x+4 i got y=6x+10 Isn't the slope of the original line from y=-6x+4 equal to -6. Your solution has a slope of +6. Are those two lines parallel?
2. ### Algebra

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2).
3. ### Algebra

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2)
4. ### Algebra

Find the equation of the line parallel to the line 3x + y = 5 and containing the point (4, – 2).
5. ### MATH

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct?
6. ### Math

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct?
7. ### Math

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct?
8. ### Algebra

graph the equation x-3=y (where do I plot the points?