Question

[4_07]Choose the equation of the line passing through the point (2, -4) and parallel to y = 3x - 6.
y = 3x - 10

y = 3x - 6

y = 3x - 2

y = 3x - 12

Answer 1

Can you write an equation for your new line in point-slope form?

Answer 2

Im not sure what point-slope is lol I think its slope intercept form though...

Answer 3

Point-slope form is the easiest way to write an equation from a point and a slope. It looks like this:
\[y-y _{1}=m(x-x_1)\]
where m is the slope and \[(x_1,y_1)\] is the point.

Answer 4

Now Im confused. . . Im just working on Alg1 so I dont really know

Answer 5

That's OK. Here's an example of an equation in point-slope form:
\[y-1 = 3(x-2)\]
The slope of the line is 3, and the line contains the point (1,2).

Answer 6

Oh, no I dont think it can be that bc all the answers are just y without another number. ..

Answer 7

Hello, my name is Stephen and I will walk you through the steps.

Remember, you're finding the parallel line. Parallel lines have the exact same slope. I can represent this in a photo.



The only difference in a parallel line is the y-value.

So, we know it passes through the line y = 3x - 6
We know the slope stays the same. The slope is 3

We are also given two points (2, -4)

Slope: 3
Points (2, -4)

Now that that information and plug it into the equation\[y - y1 = m(x - x1) \rightarrow y - (-4) = 3(x - 2)\]

Now you ned to simplify the equation.

\[y - (-4) = 3(x - 2) = y + 4 = 3x - 6 \rightarrow \rightarrow y = 3x - 6 -4 \]

Now simplify the final part of the equation.

Answer 8

y=3x-10?

Answer 9

Correct.

Good job! Come back to OpenStudy if you have any other questions

Answer 10

OH lol thanks! c:

Answer 11

It is always encouraged to give best answers.