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Mathematics 14 Online
boredfr:

I need help with all 3 https://padlet-uploads.storage.googleapis.com/1140267424/be9599ff12b7b18613ee5b116c5ebc30/NuMbErS.jpg

boredfr:

@snowflake0531

snowflake0531:

The slope intercept form is \[y=mx+b\] where m is slope, b is y-intercept with 2 pairs of coordinate points, we can first find slope, and then use the slope and one pair of coordinate points to find y intercept Do you know how to find slope?

boredfr:

Ok so would the y would be: \[m=\frac{ 13-10 }{ 14-8 }=\frac{ 3 }{ 6 }\]

boredfr:

Not y ._. m

snowflake0531:

Yes and what is 3/6 simplified

boredfr:

1/2

boredfr:

Do I solve for b now-

snowflake0531:

So we have \[y= \frac{ 1 }{ 2 } x + b\] we can take one of the coordinate points, let's take \[(8,10)\] so then we have \[10 = \frac{ 1 }{ 2 } (8) +b\] can you find b?

boredfr:

\[10=\frac{ 1 }{ 2}(8)+b\]\[10=4+b\]\[10-4;4-4\]\[6=b\]

snowflake0531:

yep so we have our equation \[y= \frac{ 1 }{ 2 } x + 6 \]

boredfr:

Ok so is that the answer-?

snowflake0531:

yes to number 1

boredfr:

Ok.

boredfr:

2. \[m=\frac{ 5-17 }{ 9-5 }=\frac{ -12 }{ 4}\]

snowflake0531:

Yes, so it's -3 now can you plug that slope and one coordinate point into the equation y=mx+b?

boredfr:

\[17=-3(5)+b\]\[17=-15+b\]\[17+15;-15+15\]\[32=b\]

snowflake0531:

Yep, so what's your equation?

boredfr:

y=-3x+32

snowflake0531:

Yep you got it

snowflake0531:

For part A of the 3rd, I think you can do that

snowflake0531:

And for C I kind of graphed on Desmos so I got

1 attachment
snowflake0531:

And for B, you can write that yourself

boredfr:

What does it mean by "on the line " e.e

snowflake0531:

Like since we have the line, just look at that, in write 2 coordinate points

boredfr:

e.e I don't get it

snowflake0531:

Bruh look at the line lol.... And look at all the coordinates, like every point that is on the line

boredfr:

I don't get it

dude:

Since you did part A, what is the line you drew?

dude:

Yes that works Choose two points closest to the line

boredfr:

(14,17) (8,28)

dude:

Perf Now you have to find the slope using those two points Point 1 is (8,28) Point 2 is (14,17) Do you know how to find that?

dude:

^^ is also your answer to b.

boredfr:

Ok so that would be \[m=\frac{ 17-28 }{ 14-8 }=\frac{ -11 }{ 6 }\] then \[28=\frac{ -11 }{ 6}(8)+b\]

dude:

yes`

boredfr:

\[28=\frac{ -44 }{ 3 }+b\]

boredfr:

I can't simplify -44/3

snowflake0531:

Don't simplify it then- Just keep it that way and find b

boredfr:

e.e Would I turn the 28 into an improper fraction for that-?

snowflake0531:

Sure, yea make it something over 3

boredfr:

\[\frac{ 84 }{ 3 }+\frac{ 44 }{ 3 }; \frac{ -44 }{ 3 }+\frac{ 44 }{ 3 }\]\[\frac{ 128 }{ 3}=b\]

snowflake0531:

Sure yes, so with your slope and y-intercept what's your line?

boredfr:

\[y=\frac{ -11 }{ 6 }x+\frac{ 128 }{ 3 }\]

snowflake0531:

yes, that's your equation

boredfr:

Oki thx snow and dudet

snowflake0531:

yw~

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