teller
  • teller
A line passes through the point −6, 1 and has a slope of 4 over 3. Write an equation in slope-intercept form for this line.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
does "4 over 3" mean \(\frac{4}{3}\)?
teller
  • teller
Yes..
anonymous
  • anonymous
ok use \[y-y_1=m(x-x_1)\] with \[x_1=-6,y_1=1,m=\frac{4}{3}\]

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More answers

teller
  • teller
Confused... But I will try it 6-1^1= 4/3(x-x^1) ??
misty1212
  • misty1212
HI!!
misty1212
  • misty1212
i see you are a bit confused
misty1212
  • misty1212
you do know that the answer you are supposed to get has an \(x\) and a \(y\) in it right?
teller
  • teller
Yes I'm confused and no .That's why I'm asking for help .
misty1212
  • misty1212
it should look like \(y=mx+b\) for some \(m\) and \(b\)
misty1212
  • misty1212
the \(x\) and \(y\) are variables in this expression \[y-y_1=m(x-x_1)\] they are the \(x\) and \(y\) in the answer the \(m\) and \(x_1,y_1\) are numbers @satellite73 showed you what those numbers are
teller
  • teller
So y-1=4/3(x-(-6)
misty1212
  • misty1212
that looks good
misty1212
  • misty1212
\[y-1=\frac{4}{3}(x+6)\] looks even better since \(-(-6)=+6\)
misty1212
  • misty1212
you are not done yet though, you still have to solve for \(y\) which takes exactly two steps
teller
  • teller
So how do I do that?
misty1212
  • misty1212
a) distribute the \(\frac{4}{3}\) on the right b) add \(1\) to both sides
misty1212
  • misty1212
does that make any sense to you?
teller
  • teller
y=4/3x+9??
misty1212
  • misty1212
yes!
misty1212
  • misty1212
\[\color\magenta\heartsuit\]
teller
  • teller
Mind if you help me with another one?
misty1212
  • misty1212
sure and say hi to penn for me
teller
  • teller
Hello penn?.?.Don't know who that is lol but Hi... A line passes through the point -2, -4 and has a slope of −7 . Write an equation in slope-intercept form for this line.
anonymous
  • anonymous
this one is even easier because there is no fraction
anonymous
  • anonymous
same as before \[y+4=-7(x+2)\]
misty1212
  • misty1212
what @satellite73 said, then you have to solve for \(y\) using the same two steps a) distribute on the right b) subtract 4 from both sides
teller
  • teller
y=-7x-18??
misty1212
  • misty1212
https://www.youtube.com/watch?v=oJhYySXzOq0
misty1212
  • misty1212
yeah looks good
teller
  • teller
A line passes through the point 7, 5 and has a slope of 2 . Write an equation in slope-intercept form for this line. Would it look like this ? y+5=2(x+7)
misty1212
  • misty1212
not quite
misty1212
  • misty1212
the reason they were plus before was because each number was negative but the formula is \[y-y_1=m(x-x_1)\]
misty1212
  • misty1212
so change those plus signs to minus signs
teller
  • teller
so each time it's a plus it will be a minus and when ever it's a minus it will be a plus?
misty1212
  • misty1212
yes
teller
  • teller
so y-5=2(x+7) or is y-5=2(x-7)
misty1212
  • misty1212
second one
teller
  • teller
so y=2x-9?
misty1212
  • misty1212
looks good
teller
  • teller
A line passes through the point −8, 7 and has a slope of 5/4 . Write an equation in slope-intercept form for this line. y+7=5/4(x+8)
misty1212
  • misty1212
not quite there is one mistake in a sign do you see it?
teller
  • teller
would it be (x-8)??
misty1212
  • misty1212
no that part is right
teller
  • teller
so -7??
misty1212
  • misty1212
yes
teller
  • teller
so y-7=5/4(x+8)
misty1212
  • misty1212
at the risk of repeating myself, it is \[\huge y-y_1=m(x-x_1)\] the minus signs are in the formula
misty1212
  • misty1212
yeah that is right
teller
  • teller
y=5/4x+17??
misty1212
  • misty1212
yup
teller
  • teller
it said it was incorrect...
teller
  • teller
it was minus 17..
misty1212
  • misty1212
no it isn't
teller
  • teller
That's what the problem said and when i hit explain it gave me the answer...
misty1212
  • misty1212
\[y-7=\frac{5}{4}(x+8)\\ y=7=\frac{5}{4}x+10\\ y=\frac{5}{4}x+17\]
teller
  • teller
sometimes i think the thing is rigged ...
misty1212
  • misty1212
was the point\((7,-8)\)?
teller
  • teller
no -8,7
misty1212
  • misty1212
yeah sorry that is what i meant
misty1212
  • misty1212
if the point is \((-8,7)\) then it should be \(y=\frac{5}{4}x+17\)
misty1212
  • misty1212
tell them it is a mistake
teller
  • teller
A line passes through the point −6, -1and has a slope of −5/2 . Write an equation in slope-intercept form for this line. Would it be y+1=-5/2(x+6)
misty1212
  • misty1212
yes
teller
  • teller
so it would be y=-5/2x-16??
misty1212
  • misty1212
hmm lets check
misty1212
  • misty1212
\[y+1=-\frac{5}{2}(x+6)\]\[y+1=-\frac{5}{2}x-15\]\[y=-\frac{5}{2}x-16\]
teller
  • teller
A line passes through the point 6, 1 and has a slope of 2. Write an equation in slope-intercept form for this line. so y-1=2(x-6)?? y=2x-11??
misty1212
  • misty1212
yes
teller
  • teller
One more problem then I will be done with that subject.I greatly appreciate you for helping me ! A line passes through the point 4, -9 and has a slope of −4 .Write an equation in slope-intercept form for this line. y+9=-4(x-4) or is it y+9=-4(x+4)
misty1212
  • misty1212
fist one
misty1212
  • misty1212
first
teller
  • teller
so the final answer would be y=-4x+7
misty1212
  • misty1212
yes
misty1212
  • misty1212
you done with them all?
teller
  • teller
said I was incorrect...
misty1212
  • misty1212
ok lets check
misty1212
  • misty1212
A line passes through the point (4, -9) and has a slope of −4 right?
misty1212
  • misty1212
\[y+9=-4(x-4)\\ y+9=-4x+16\\ y=-4x+7\]
misty1212
  • misty1212
it is right, if that was the question
teller
  • teller
We are given that the line passes through the point −4, 9 . So, the equation must be true when =x4 and =y−9 . =−9+−44b We can solve this equation for the y -intercept b . −9 =+−44b −9 =+−16b 7 =b We now write the equation of the line in slope-intercept form. =y+−4x7 Here is the answer. =y+−4x7
teller
  • teller
that's what it said
teller
  • teller
but thank you for the help..
misty1212
  • misty1212
i have read that twice now and it does not make any sense to me
misty1212
  • misty1212
what does =y+−4x7 even mean?

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