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anonymous
 one year ago
Can someone check my answers please? I'm really struggling with this.
Write an equation in pointslope form for the line through the given point with the given slope.
anonymous
 one year ago
Can someone check my answers please? I'm really struggling with this. Write an equation in pointslope form for the line through the given point with the given slope.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(8,3); m=6 (1 point) y+3=6(x8) y3=6(x8) y3=6(x+8) < My answer. y+3=6x+8

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\LARGE y\color{green}{y_1}=\color{blue}{\rm m}(x\color{red}{x_1})\) where your point is \(\LARGE \left(\color{red}{x_1},\color{green}{y_1}\right)\) and your slope is \(\LARGE \rm \color{blue}{m}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1in this case: \(x_1=8\) and \(y_2=3\) The slope is \(\rm m\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1and in this case, the slope is 6 (i.e. m=6)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, if I understand what you're saying, the answer should be B instead of C?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if a line has a slope \(m\) and passes through a point \(x_0,y_0\) then the slope between any other point on the line \((x,y)\) and the given point \((x_0,y_0)\) must be \(m\), i.e. $$\text{slope between }(x,y)\text{ and }(x_0,y_0)=m\\\frac{yy_0}{xx_0}=m\\yy_0=m(xx_0)$$

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Yes B is correct! VEry good!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so in this case our given point is \((8,3)\) and our slope is \(6\). for any other point \((x,y)\) on our line we require that the slope between \((x,y)\) and \((8,3)\) is \(6\), so:$$\frac{y3}{x8}=6\\\text{so multiplying both sides by }x8\text{ gives us: }y3=6(x8)$$... and this is the pointslope form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you, would you mind checking a few more? I have two days to finish and I'm terrified of getting a bad grade.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Yes, I think I can check more problems... and of course, N☼ PR☼BLEM

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now this is an unrelated, tangential note to help connect this with slopeintercept form: suppose the given point is a \(y\)intercept, i.e. a point whose \(x\)coordinate is zero; we can write this \((0,b)\). if we're given this \(y\)interept and a slope \(m\), we'll find the following equation by pointslope form:$$yb=m(x0)$$simplifying since \(x0=x\) we have:$$yb=mx\\y=mx+b$$which is the normal slopeintercept form that you're familiar with

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02. Graph the equation. y+5=2(x4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'll attach the graphs.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0unrelated note continued: in fact, given a pointslope form equation \(yy_0=m(xx_0)\) there is a natural way to rewrite in slopeintercept form  simply distribute everything out and get \(y\) alone on one side: $$yy_0=m(xx_0)\\yy_0=mxmx_0\\y=\color{blue}mx+\underbrace{\color{red}{y_0mx_0}}_{b}\\y=mx+b$$

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1if you got the graph why are you asked to graph it? :O

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1It will be easier if we go ahead and simplify this equation written in a point slope form, INTO, a yintercept form (i.e. y=mx+b).

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1y+5=2(x4) 1. expand the left side) 2. subtract 5 from both sides

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1oh, 2.... I missed that. apologize.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1ok, you can exclude option c, because it is going up and the line with a negative slope is always going down.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1y+5=2(x4) you can rewrite it into a s yintercept form, but you don't really have to. you know the line should go down by 2 units every time it goes 1 unit to the right (that is what a slope of 2 means). What you don't know is where do you start.... plug in x=0, to find the yinterecept.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1(I mean I can tell a negative slope that is 2, and a negative slope that is not as steep as 2 right away, tho' so you can just look at the graph to see the option (the only one option) that goes 2 units down every time it goes 1 unit to the right.)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1B is more like going 2 units to the right as it goes 1 down, but a slope of 2 means that we go down by 2 each time we go 1 to the right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then it has to be A, because I don't think D is anywhere near what we're looking at.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you have time to help with a few more?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1(I am just showing an SAT kind of a technique where you can quickly identify the answer and exclude other options just using a quick look/analysis)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, I think so...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Which point is located on the line represented by the equation y+4=5(x3)? (4,5) (5,4) (3,4) < My answer. (3,4)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Recall the point slope formula rule. I will rewrite your equation for you real quick. y(4)=5(x3) now compare that to yy1=m(xx1)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Yes, your answer is right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think D would be the correct answer for that one.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Are you sure? I am asking that because the line is not going down, it si going up....

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1It does go by 2 units vertically, as it goes 1 unit to the right. BUT it goes 2 units (vertically) up, not (vertically) down....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OH! Okay! So A would be correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm really hoping that I'm right about this one, but I think it's A.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you got "fooled" (excuse me) by the look of it.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436469019837:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1see it perfectly goes 3 units down, as it goes 8 units to the right (and although it is close to the slope of 1/2)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.18/3 slope, means: Your graph goes 8 units down as it goes 3 units to the right 3/8 slope, means: Your graph goes 3 units down as it goes 8 units to the right which one is correct if you look on our graph?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1it wuld be C if it was going UP by 3 while going 8 to the right. But it goes DOWN by 3 while it goes 8 to the right. So m=3/8
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