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I dentist the slope and a point on the line

I dentist the slope and a point on the line-example-1
User Moubeen Farooq Khan
by
2.9k points

1 Answer

12 votes
12 votes

Answer:

2/3 (0,-3) is one possible answer.

Explanation:

y -1 = 2/3(x-6) We want to get this into the slope intercept form of a line. We want it to be in the form y = mx + b. Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9 Now divide all the way through by 3 to get

y = 2/3x - 3

y = mx + b. The m part is the slope. In this equation the slope is 2/3

There are in infinite amount of points on a line. I do not know if they give you a picture or if you are just to create your own. I am going to create a point that have x = 0. I get to pick the point. I could pick any number. 0 is just usually really easy. So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1 so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works. I think that I would do it like this"

y - 1 = 2/3(x - 6) Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4 I can make -6 a fraction by putting it over 1. Now we have 2/3(-6/1) multiply across to get -12/3. A positive times a negative is a negative. -12 divided by 3 is -4.

y - 1 = 2/3x -4 now add 1 to both sides.

y = 2/3x -3

User Badjio
by
2.9k points
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