Question

Which equation represents the line passing through the points (3, 2) and (−9, 6)?

a. x − 3y = 9
b. x + 3y = 9
c. 3x − y = −9
d. 3x + y = 9

Answer 1

@iGreen @geekfromthefutur

Answer 2

please help...

Answer 3

Ik what it is

Answer 4

First we need to find the slope using the formula \(\large m = \frac{y_2 - y_1}{x_2 - x_1}\)

So we have \[\large m = \frac{6 - 2}{-9 - 3} = \frac{4}{-12} = -\frac{1}{3}\]

So our slope is \(\large -\frac{1}{3}\)

Now that we have a slope we can plug it (and 1 of our points up there) into the point slope formula

\[\large y - y_0 = m(x - x_0)\]

So this would look like (using the point (3,2))

\[\large y - 2 = -\frac{1}{3}(x - 3)\]
Lets simplify it
\[\large y = -\frac{1}{3}x + 3\]

Now it may look like none of those lines are correct, but if we multiply this entire equation by 3...we have

\[\large 3y = -x + 9\]

Now lets just add 'x' to both sides and we will have

\[\large 3y + x = 9\]

Answer 5

thanks!!!

Answer 6

Anytime!