Question

FAN AND MEDAL:




Graph with a line going through points zero comma two point five and four comma two point five.

Select the equation of the line that passes through the point (3, -1) and is parallel to the line on the graph.

y = -1

y = 3

y = x -1

y = 3x - 1

Answer 1

@mathmale

Answer 2

Is this all one problem, Kayla, or have you posted two problems at once? Prefer just one.

Answer 3

It's one

Answer 4

The first sentence describes the graph that is shown.

Answer 5

Could you draw out the graph? I'm really bad at picturing things in my head based off of words.

Answer 6

All right. while it's not strictly necessary, graph these 2 given points and draw a line thru them.

Next, calculate the slope of this li ne.

Third, use the point-slope formula and the info you already have (m=the slope of the line connecting those two points) and a new point (3,-1).

Which of these things can you do yourself, and with which do you need help?

Answer 7

Remember, please, no more "I'm really bad at ... " Instead, you might say, "I need more discussion to understand this particular topic: ."

Answer 8

Looks good. You've correctly drawn a straight line thru the 2 given points.
Look carefully at y our own graph. What is the slope of that line you've drawn?

Answer 9

Well, I haven't learned much in the course due to an overwhelmingly long time with a substitute to lacked the ability, or actually the knowledge, to teach us the course information. Therefore, I do NOT know how to calculate slope. I know that there is an important equation y=mx+b and in this m= slope, but other than that, I am horribly lost...

Answer 10

You can read the slope right off the graph, and for that reason you don't even need to use the slope formula. Have you a gut feeling for what slope means and what the slope of your line is?

Answer 11

I'm not sure. Can you explain how to figure it out?

Answer 12

Slope is an extremely important concept in algebra and calculus.

Rather than go into a long explanation of what "slope" means, I'm going to give you three examples and then discuss them.

Answer 13

OK

Answer 14

Okay. I know that that i positive slope and i know what negative slope looks like. but that is all

Answer 15

Example of a line with zero slope:

Answer 16

So, in our current problem, there is a slope of 0?

Answer 17

OK: you know what negative slope looks like and what it means:

Answer 18

Correct

Answer 19

that's right. The slope is zero. That's all there is to it.

Now you must find the equation of a new line that has ZERO slope and which passes through the given point, (3,-1).

I'd suggest you use the "point-slope form of the equation of a straight line." This formula is\[y-y _{1}=m(x-x _{1})\]

Answer 20

and is very, very common and thus very important to understand, know and remember.

Answer 21

If\[y-y _{0}=m(x-x _{0}),\] and your slope m is zero (m=0), simplify this to reflect the fact that m=0. Write your answer here:

Answer 22

What is the y and x with the 0 next to it?

Answer 23

Note that the given point is (3,-1). The x-coordinate of this point is \[x _{0}=3\]and the y-coordinate of this point is \[y _{0}=-1.\]

Answer 24

The notation \[(x _{0},y _{0})\] is frequently used to refer to a starting point. In this problem, Kayla, we know we have a line of slope zero (0) that passes through the point (or starting point) \[(x _{0},y _{0}): (3,-1)\]

Answer 25

This point could represent "beginning location" or (time, amount of money in bank account at that time), and so on.

Answer 26

Okay. So, where do I go from here?

Answer 27

Please look at \[y-y _{1}=m(x-x _{1})\]First, suppose that m=0 (as it is in this particular problem). Substitute 0 for m in this equation. Write out the resulting new equation:

Answer 28

Think:\[y-y _{1}=(0)(x-x _{1})\]reduces to what equation?

Answer 29

Remember that zero times anything = zero.

Answer 30

Kayla?

Answer 31

I'll move on to other things now. When you're good and ready, please respond, ask a question, or whatever you need to do to continue moving forward. I'll answer next time I'm on OpenStudy. Great working with you.

Answer 32

Remember that a vertical line has an undefined slope.

Answer 33

That's right: a vertical line does indeed have no definite slope; we say that the slope of a vertical line is "undefined."

Also: the slope of a horizontal line is zero, OR, conversely, a horizontal line has a slope of zero.

Answer 34

hi

Answer 35

The whole focus here is to find the equation of the line with zero slope that passes through (3,-1). kayla?

Answer 36

Okay. So, for the equation, m=0, and since I only have 1 coordinate would I use \[x_{1} + x _{0} \] and \[y_{1} + y _{0}\]

Answer 37

So: \[x_{3} + x _{0} \div y _{1} + y _{0}\]

Answer 38

Am I on the right track?

Answer 39

Kayla, as before, take the equation I gave you:\[y=y _{0}=m(x-x _{0})\]and substitute m = 0. Please do this now; it's of critical importance, and this is the 3rd time I've asked you to take this step. type out your result here.

Answer 40

We agreed earlier that the line thru the 2 given points has a slope of zero. That's where "m=0" came from.