Question

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

a) y = 3x + 7

b) y = 3x - 7

c) y = 1/3x + 2

d) y = 1/3x - 2

Answer 1

@zepdrix @surjithayer do you think you could help me?

Answer 2

parallel means they have exactly the same slope.
are you able to identify the slope of this equation? y=3x-4

Answer 3

3?

Answer 4

Yes, and the slope-intercept form of a straight line is given by: y=mx+b

So, filling in our slope value, we have this so far:
\(\large\rm y=3x+b\)

That at least helps to narrow down our choice.

Answer 5

Now you need to plug in the point (3,2), and determine the missing "b" value.

Answer 6

thank you! so it would be "A"

Answer 7

@zepdrix ?

Answer 8

\[\large\rm 3=3(2)+b\]You got b=7 ?
Hmm that doesn't seem quite right.

Answer 9

Woops I plugged those in backwards lolol :)

Answer 10

\[\large\rm 2=3(3)+b\]But again, b=7 doesn't seem quite right :)

Answer 11

b = 2, is that right?

Answer 12

\[\large\rm 2=3(3)+b\]\[\large\rm 2=9+b\]Subtracting 9 from each side gives\[\large\rm 2-9=b\]