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Mathematics 15 Online
OpenStudy (anonymous):

@asnaseer @SolomonZelman @xGuardians @Hero

OpenStudy (anonymous):

Can you explain this? DO NOT GIVE ME AN ANSWER! What is the equation of the line that passes through the points (0, 4) and (−3, 0)? A. y = 4/3 x + 4 B. y = −3/4 x − 3 C. y = 3/4 x + 4 D. y = 4/3 x − 3

OpenStudy (sweetburger):

you already have your y-intercept so you can eliminate 2 of the answer choices.

hero (hero):

^Pretty good hint. You actually happen to have the x-intercept and the y-intercept.

OpenStudy (anonymous):

I thought is was B but I'm not sure if that's right.

hero (hero):

You are given two points on a line which means both points will work for only one of them. Plug the points in to each equation to find out which one works for both.

OpenStudy (anonymous):

-3 and 4 is in B...

hero (hero):

There are at least two ways to figure out what the points are. 1. Solve algebraically by checking the points or 2. Solve graphically by graphing both points and drawing the line through them and finding the equation of the line. The question is, which method are you going to use to do it?

OpenStudy (anonymous):

OK; I'm going to assume it's not B, since you haven't told me if I was right or not. Hold on and let me see if I can figure it out...

hero (hero):

Whatever you do, please show your steps. If you need help, ask.

OpenStudy (xguardians):

HINT: (x,y) You have :(0,4) In Equations: y = mx + b y = equation of line m = slope x = a value unknown b = y intercept. Hope this helps you eliminate those two!

OpenStudy (anonymous):

@Hero Can you walk me through the steps to do #2

OpenStudy (anonymous):

@sweetburger which ones do i eliminate? and why?

OpenStudy (sweetburger):

alright y=(slope/m)x+(y-intercept) according to the points we were given we have the point with the y-intercept which is (0,4) so we can eliminate the equations that dont look like this y=mx+4

OpenStudy (sweetburger):

slope/m doesnt mean slope divided by m just saying that m is another way of saying slope

OpenStudy (anonymous):

So it's a or c

OpenStudy (sweetburger):

considering your given 2 points you can also find the slope of the line using this formula \[M=(y2-y1)/(x2-x1)\]

OpenStudy (anonymous):

it's x,y right not y,x

OpenStudy (sweetburger):

yes @CrazyCountryGirl it is either a or c

OpenStudy (anonymous):

OK @sweetburger Is it X,Y or Y,X?

OpenStudy (sweetburger):

(x,y)

OpenStudy (sweetburger):

x=independent variable y= dependent variable

OpenStudy (anonymous):

So 4/3 A? @sweetburger

OpenStudy (anonymous):

@sweetburger @Hero Am I right? Is it A?

OpenStudy (sweetburger):

Yes @CrazyCountryGirl you are correct :)

OpenStudy (anonymous):

Yay!!!

OpenStudy (anonymous):

I get it!!

hero (hero):

A is correct, but I'm still wondering how @CrazyCountryGirl arrived at A as the correct result. You don't really know it for sure unless you can fully explain your steps.

OpenStudy (anonymous):

OK. I used the formula. I'm not retyping it because I really don't wanna. :) 1. 4-0=4 I did that because (Y2-Y1) 2. 0-(-3)=3 I did that because (X2-X1) 3. So that is how I came to the conclusion 4/3 because we had already crossed out B and D.

hero (hero):

Finding the slope of the line is only part of the solution. But finding it allows you to eliminate B and C. Explain how you eliminated D as a possible choice.

OpenStudy (anonymous):

I already had my Y intercept.

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