Can someone PLEASE help me out with these 4 math questions!?

Question

ms-brains · Answer

attachment

solomonzelman · Answer

one by one please.. don't post the rest now

ms-brains · Answer

I posted one. I don't know how to solve these kinds of problems.

solomonzelman · Answer

$1.$	Use the slope formula to find the slope ($m$).
$2.$	Choose one of the points (I will call it $ (a,b) $.

Then, with a point $ (a,b) $ and slope $m$, the equation of the line would be

$y-b=m(x-a)$			(point-slope form)
$y=mx+b-ma$			(slope intercept form)

solomonzelman · Answer

The slope formula is:
$ \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm y}_1}-\color{red}{{\rm y}_2}}{\color{green}{{\rm x}_1}-\color{darkgoldenrod}{{\rm x}_2}}  }$

where,

$\color{black}{ \displaystyle {\rm m} }$   is the slope
$\color{black}{ \displaystyle (\color{green}{{\rm x}_1}~,~~\color{blue}{{\rm y}_1})   }$     and     $\Large\color{black}{ \displaystyle (\color{darkgoldenrod}{{\rm x}_2}~,~~\color{red}{{\rm y}_2})   }$    are your two points.

solomonzelman · Answer

I will give you an example

solomonzelman · Answer

Suppose that I want to find an equation of
the line that goes through (4,3) and (5,16)

I will apply the slope formula to find the slope

$\color{#000000 }{ \displaystyle m=\frac{16-3}{5-4}=\frac{13}{1}=13  }$

And then, I will use the point (4,3)
to find the equation of the line,

$\color{#000000 }{ \displaystyle y-3=13(x-4)  }$

solomonzelman · Answer

Then, in your problem you are shown the two points on the line, so use that information to find the equation of the line...

ms-brains · Answer

I think using your example, the answer is A. I'm not 100% sure though.

alivejeremy · Answer

u still need help

ms-brains · Answer

Oh. Sorry! That was correct...

ms-brains · Answer

incorrect*

solomonzelman · Answer

A is incorrect!

solomonzelman · Answer

Can you show me your work please, so that I can track the error....

ms-brains · Answer

I didn't do any work, option A just fit with the chart you made. I thought it was it.

solomonzelman · Answer

well, A is incorrect...

solomonzelman · Answer

Can you try to do the same work as I did?

ms-brains · Answer

Uhh. sure I guess. Gimme a sec

fortytherapper · Answer

Yes, let's first find the slope of this graph which is y2-y1
                                                                              ----
                                                                             x2-x1, as mentioned

ms-brains · Answer

Is it D. -7x+6y=-11 ??

fortytherapper · Answer

I didn't get that answer. Do you have the steps? Maybe I can see the error

ms-brains · Answer

Thank you for helping me. :)