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HELP!!!!
 one year ago
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
HELP!!!!
 one year ago
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

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HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0@Loser66 @SolomonZelman @zepdrix @Hero @Jaynator495

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Since we're given a `slope` and a `point`, it's probably best to write the equation for our line in `point slope form`.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So here is what pointslope 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.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Plugging 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
 one year ago
Best ResponseYou've already chosen the best response.1This will help us find other points on the line.

HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0nice! Thanks for the clarification!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1To graph it easily, we just need one more point. Then we can draw a line through the two points.

HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0Yup I figured. I just got confused when it asked me to find another sets of points

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ahh woops! I plugged the numbers in backwards!! :O Notice I plugged the 3 into the y.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm y+1=0.75(x+3)\]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
 one year ago
Best ResponseYou've already chosen the best response.1So we need another point? Hmm... Let's plug in x=0 and see if we can come up with something.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm y+1=0.75(0+3)\]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
 one year ago
Best ResponseYou've already chosen the best response.1Understand how to solve for y in that setup? :o

HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0Yuup! Also could you help me out with a word problem related to slope?

HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0A 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
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\rm m=5\text{%}\) 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!!!!
 one year ago
Best ResponseYou've already chosen the best response.0hmm is it out of 100? I have no clue

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes, `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: \(\dfrac{5}{100}\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm m=\frac{5}{100}\]Yes, that's the slope. Let's simplify it down. Both top and bottom are divisible by 5.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Do you remember your slope formula? Finding the slope of a line, given two points?

HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0y2y1/x2x1 so x0/30 =x/3?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Mmm ok good! \[\large\rm m=\frac{y_2y_1}{x_2x_1}=\frac{30}{x0}\]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.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1yay good job \c:/ now the guy in the chair can safely get up the ramp

HELP!!!!
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for the major help! There needs to be more people like you
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