Answer:
independent
Step-by-step explanation:
Dependent equations graph as the <em>same line</em>. These lines are not the same, so the equations are independent.
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However, the lines are parallel, so the equations are also <em>inconsistent</em>. There is <em>no solution</em> to this system of equations.
Answer:
Varying
Step-by-step explanation:
The reason why the rate of change is varying is because the dots on the graph do not connect to make a straight line when you draw a line through the dots. When the dots connect via a straight line, it is also known as a proportional relation. A straight line would be a constant change.
Answer:
24?
Step-by-step explanation:
I'm not very good at math and I'm sorry if I'm wrong.
the last one because 7*3=21 14*3=42 and 21*3=63
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
