Question

Consider the following point and line.
Point Line
(4/5, 5/6) 3x + 4y = 0
(a) Write the equation of the line through the point parallel to the given line.

Answer 1

the slope is -3/4
so
(y-5/6) = -3(x-4/5)/4

Answer 2

What does it mean for two lines to be parallel?

Answer 3

they never touch? i put it into standard form and got y=-(3/40x

Answer 4

i mean -3/4

Answer 5

They never touch, that's true. But they also have the same slope.

Answer 6

do u know the point slope form of a line tiffany?

Answer 7

nope?

Answer 8

\[y-k = m(x-h)\]
Where m is the slope and (h,k) is any point on the line.

Answer 9

So since you know that the line is parallel it will have the same slope of -3/4

Answer 10

so how do i find out the B which is the x-inter. right?

Answer 11

y - intercept yeah

Answer 12

Ok so you have a point on the line you are looking for, and you have the slope (because it's parallel). Plug it into the point-slope formula.

Answer 13

Then we can solve for the 'slope intercept' form which will give us b.

Answer 14

Though really the point slope equation is the equation for the line.

Answer 15

so it should look like y-(5/6)=-3/4(x-5/6)

Answer 16

Close. Your h isn't quite right.

Answer 17

y-(5/6) = (-3/4)(x-(4/5))

Answer 18

You just had 5/6 again instead of the x coordinate of the point.

Answer 19

ugh this is really confusing..

Answer 20

No you're doing it right.

Answer 21

\[y - \frac{5}{6} =- \frac{3}{4}(x-\frac{4}{5})\]

Answer 22

then would i distribute the -3/4?

Answer 23

Yep

Answer 24

do i subtract -5/6 from both sides.?

Answer 25

well add

Answer 26

Yes add 5/6 to both sides

Answer 27

After you distribute.

Answer 28

thanks!!!