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Mathematics 18 Online
OpenStudy (anonymous):

Passes through -3,-5 and is parallel to y=-1/2x-4

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (anonymous):

I know how to work it out but could you teach me how to multiply the fraction

OpenStudy (anonymous):

with -3

OpenStudy (solomonzelman):

ys, when you multiply a number times a fraction, you would multiply this number times the top of the fraction, So if you had: \(\large\color{black}{ -\frac{\LARGE 1}{\LARGE 2}\times (-3) }\) then you get: \(\large\color{black}{ -\frac{\LARGE 1\times (-3)}{\LARGE 2} }\)

OpenStudy (anonymous):

That would be -3/2?

OpenStudy (solomonzelman):

but you already have 1 minus in front of the 1/2. So, it would be: \(\large\color{black}{ -\frac{\LARGE -3}{\LARGE 2} }\) which then becomes: \(\large\color{black}{ \frac{\LARGE 3}{\LARGE 2} }\) (because two negatives become positive)

OpenStudy (anonymous):

oh thanks ! ;o

OpenStudy (solomonzelman):

yes, so you are getting: \(\large\color{black}{ -5= \frac{\LARGE 3}{\LARGE 2}+b }\) (when you plug in (-3,5) into \(\large\color{black}{ y= -\frac{\LARGE 1}{\LARGE 2}x+b }\) )

OpenStudy (solomonzelman):

can you tell me what the \(\large\color{black}{ b}\) is going to be equal to? (solve for b, basically)

OpenStudy (anonymous):

i got 7/2 as my answer

OpenStudy (solomonzelman):

you have a NEGATIVE 5 on the left side, try again....

OpenStudy (anonymous):

would it be negative?

OpenStudy (solomonzelman):

yes,

OpenStudy (anonymous):

oh so negative 7/2?

OpenStudy (solomonzelman):

\(\large\color{black}{ -5\color{blue}{-\frac{\LARGE 3}{\LARGE 2}}= \frac{\LARGE 3}{\LARGE 2}+b \color{blue}{-\frac{\LARGE 3}{\LARGE 2}} }\)

OpenStudy (solomonzelman):

3/2 on the right side cancel, and the right side just remains to be: \(\large\color{black}{ b }\) Now, the left side you need to calculate: \(\large\color{black}{ -5\color{blue}{-\frac{\LARGE 3}{\LARGE 2}} }\)

OpenStudy (anonymous):

-7/2

OpenStudy (anonymous):

fractions confuse me ;/

OpenStudy (solomonzelman):

\(\large\color{black}{ -5-\frac{\LARGE 3}{\LARGE 2} ~~~~~\Rightarrow ~~~~-5-1\frac{\LARGE 1}{\LARGE 2}~~~~\Rightarrow~~~~~ ?}\)

OpenStudy (anonymous):

4 1/2?

OpenStudy (solomonzelman):

the 5 is also negative:

OpenStudy (anonymous):

-6 1/2?

OpenStudy (solomonzelman):

yes, there you go: \(\large\color{black}{ -6\frac{\LARGE 1}{\LARGE 2}}\)

OpenStudy (anonymous):

how would i make it simplest form o;

OpenStudy (solomonzelman):

so you have: \(\large\color{black}{y= - \frac{\LARGE 1}{\LARGE 2}x-6\frac{\LARGE 1}{\LARGE 2}}\)

OpenStudy (solomonzelman):

what do you mean simple form?

OpenStudy (anonymous):

my teacher doesn't like me to put 6 1/2 she wants just 1 fraction ;/

OpenStudy (anonymous):

like 1 piece only

OpenStudy (anonymous):

if you know what i mean ;/

OpenStudy (anonymous):

like ?/2

OpenStudy (solomonzelman):

oh, so there is a formula to convert mined numbers into improper fractions. \(\large\color{black}{ \color{green}{A}\frac{\LARGE \color{red}{b} }{\LARGE \color{blue}{c}}=\frac{\LARGE (\color{green}{A} \times \color{blue}{c})+\color{red}{b} }{\LARGE \color{blue}{c}} }\)

OpenStudy (solomonzelman):

so for example, if you needed to convert: \(\large\color{black}{ \color{green}{4}\frac{\LARGE \color{red}{2} }{\LARGE \color{blue}{3}}=\frac{\LARGE (\color{green}{4} \times \color{blue}{3})+\color{red}{2} }{\LARGE \color{blue}{3}}= \frac{\LARGE (12)+\color{red}{2} }{\LARGE \color{blue}{3}}=\frac{\LARGE 14 }{\LARGE \color{blue}{3}} }\)

OpenStudy (anonymous):

(-6 x 2 ) + 1 3

OpenStudy (solomonzelman):

\(\large\color{black}{ \color{green}{6}\frac{\LARGE \color{red}{1} }{\LARGE \color{blue}{2}}=\frac{\LARGE (\color{green}{6} \times \color{blue}{2})+\color{red}{1} }{\LARGE \color{blue}{2}}=\frac{\LARGE? }{\LARGE ?} }\)

OpenStudy (anonymous):

over 2*

OpenStudy (solomonzelman):

you are doing it correctly

OpenStudy (solomonzelman):

but don't do negative 6 in there

OpenStudy (anonymous):

13/2?

OpenStudy (solomonzelman):

fiorst do all the positive numbers, and then put a sign

OpenStudy (solomonzelman):

yes, but negative 13/2.

OpenStudy (anonymous):

oh okay

OpenStudy (solomonzelman):

ood job:

OpenStudy (anonymous):

thanks :D, Without you I would've got that one wrong o;

OpenStudy (solomonzelman):

you are surely welcome:D

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