Answer:
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Step-by-step explanation:
Answer:
2/3 (0,-3) is one possible answer.
Step-by-step 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
The number of cats that you have is; 27 cats
<h3>How to calculate algebra word problems?</h3>
Let the number of cats alice has be x.
Since you have thrice the amount of cats that alice has, then you have 3x cats.
Bob has 7 less cats than you. Thus, bob has; 3x - 7
If they have a total of 56 cats, then;
x + 3x - 7 + 3x = 56
7x - 7 = 56
7x = 56 + 7
7x = 63
x = 63/7
x = 9
Thus, number of cats you have = 3x = 3 * 9 = 27 cats
Read more on algebra word problems at; brainly.com/question/13818690
Y = 17 is not a linear function.
