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Mathematics 6 Online
OpenStudy (devonhoward15):

@Will.H

OpenStudy (devonhoward15):

@W

OpenStudy (devonhoward15):

@Will.H

OpenStudy (kittiwitti1):

he's helping someone else with slope right now. what's your question?

OpenStudy (devonhoward15):

OpenStudy (kittiwitti1):

\(2x+3y=3\) is your equation. to get in slope form \(y=mx+b\) you make sure you have the \(y\) by itself... ... you get \[y=-\frac{2}{3}x+1\]

OpenStudy (kittiwitti1):

so your ORIGINAL slope is -2/3.

OpenStudy (kittiwitti1):

now they want a PARALLEL line, which means you have exactly the same slope. so don't worry about that. currently we have the parallel line as:\[y=-\frac{2}{3}x+b\] they say the line passes through the point \((3,-4)\) so that means \(\color{red}{x=3}\) and \(\color{blue}{y=-4}\)... put this in the equation of the parallel line...\[\color{blue}{-4}=-\frac{2}{3}(\color{red}{3})+b\]

OpenStudy (kittiwitti1):

make sense?

OpenStudy (will.h):

2x + 3y = 3 Find slope 3y = -2x + 3 Y = -2/3)x + 1 Slope is -2/3. And since they said "parallel " then the slope of the other line would also be -2/3 That passes through (3,-4) Now we use Y - Y1 = m(x-x1) Substitute Y - (-4) = -2/3(x - 3) Y + 4 = -2/3)x + 2 Y = -2/3)x -2

OpenStudy (devonhoward15):

so anwser is y=-2/3(x-2)

OpenStudy (will.h):

Yeah I hate to explain for too long XD

OpenStudy (will.h):

No Devon

OpenStudy (will.h):

Y = (-2/3)x - 2

OpenStudy (kittiwitti1):

how about you go off of what I said... solve for \(b\) and then put it back in the equation...\[y=-\frac{2}{3}x+b\]

OpenStudy (kittiwitti1):

if you do it right you should get \(b=-2\), and then you'd have the same result as will's explanation.

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