HELP!!!!
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Help me graph the line through the point P having slope m. Find the coordinates of two other points on the line. 34. P(-3,-1), m=0.75
Mathematics
schrodinger
  • schrodinger
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zepdrix
  • zepdrix
Since we're given a `slope` and a `point`, it's probably best to write the equation for our line in `point slope form`.
zepdrix
  • zepdrix
So here is what point-slope looks like:\[\large\rm y-\color{orangered}{y_o}=m(x-\color{orangered}{x_o})\]Where \(\large\rm (\color{orangered}{x_o},~\color{orangered}{y_o})\) is the given point.

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zepdrix
  • zepdrix
Plugging in our values gives us,\[\large\rm y-\color{orangered}{(-3)}=0.75(x-\color{orangered}{(-1)})\]Simplifies to,\[\large\rm y+3=0.75(x+1)\]
zepdrix
  • zepdrix
This will help us find other points on the line.
HELP!!!!
  • HELP!!!!
nice! Thanks for the clarification!
zepdrix
  • zepdrix
To graph it easily, we just need one more point. Then we can draw a line through the two points.
HELP!!!!
  • HELP!!!!
Yup I figured. I just got confused when it asked me to find another sets of points
zepdrix
  • zepdrix
Ahh woops! I plugged the numbers in backwards!! :O Notice I plugged the -3 into the y.
zepdrix
  • zepdrix
\[\large\rm y+1=0.75(x+3)\]My bad >.< Our point was this: \(\large\rm P(-3,-1)\) It was NOT this \(\large\rm (-1,-3)\) which is what I plugged in at the start.
zepdrix
  • zepdrix
So we need another point? Hmm... Let's plug in x=0 and see if we can come up with something.
zepdrix
  • zepdrix
\[\large\rm y+1=0.75(0+3)\]So we're currently working on finding this point: \(\large\rm (0,?)\) We're choosing 0 for x, and we're going to solve this equation for y to see the corresponding coordinate value.
zepdrix
  • zepdrix
Understand how to solve for y in that setup? :o
HELP!!!!
  • HELP!!!!
Yuup! Also could you help me out with a word problem related to slope?
HELP!!!!
  • HELP!!!!
A ramp to provide handicapped people access to a certain building is to be constructed with a slope of 5%. If the entrance to the building is 3 ft above ground level, how long should the base of the ramp be?
zepdrix
  • zepdrix
\(\large\rm m=5\text{%}\) So it would be nice if we could write this as an actual number, not a percentage. Do you remember how to convert it? :)
HELP!!!!
  • HELP!!!!
hmm is it out of 100? I have no clue
zepdrix
  • zepdrix
Yes, `per` `cent` means `per` `100`. Think of the word `century`, which measures 100 years. So 5% means, 5 per 100. So we can write that as a fraction: \(\dfrac{5}{100}\)
HELP!!!!
  • HELP!!!!
so thats the slope?
zepdrix
  • zepdrix
\[\large\rm m=\frac{5}{100}\]Yes, that's the slope. Let's simplify it down. Both top and bottom are divisible by 5.
HELP!!!!
  • HELP!!!!
so 1/20
zepdrix
  • zepdrix
|dw:1443660767334:dw|
HELP!!!!
  • HELP!!!!
wOw nice drawing!
zepdrix
  • zepdrix
|dw:1443660878426:dw|
zepdrix
  • zepdrix
Do you remember your slope formula? Finding the slope of a line, given two points?
HELP!!!!
  • HELP!!!!
y2-y1/x2-x1 so x-0/3-0 =x/3?
HELP!!!!
  • HELP!!!!
ops nvm m=3/x
zepdrix
  • zepdrix
Mmm ok good! \[\large\rm m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{x-0}\]But recall that we actually KNOW the value of m, let's plug it in!\[\large\rm \frac{1}{20}=\frac{3}{x}\]And solve for x.
HELP!!!!
  • HELP!!!!
x=60!
zepdrix
  • zepdrix
yay good job \c:/ now the guy in the chair can safely get up the ramp
zepdrix
  • zepdrix
or down
HELP!!!!
  • HELP!!!!
Thanks for the major help! There needs to be more people like you
zepdrix
  • zepdrix
:3

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