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Alecsey [184]
4 years ago
6

I need help with problems 2, 3, 5, 6, 11 and 12. I'm having trouble with those thanks.

Mathematics
1 answer:
goldfiish [28.3K]4 years ago
5 0

#2:

(-1)+(1)=0

<em>(this is true)</em>

3(-1)-3(1)=0

-3-3=0

<em>(this is false, it equals -6)</em>

Answer: No

#3:

3(1)-2(2)=1

3-4=1

<em>(this is false, it equals -1)</em>

Answer: No

#5:

2(2)+(-4)=0

4-4=0

<em>(this is true)</em>

-(2)+2(-4)=10

-2-8=10

<em>(this is false, it equals 6)</em>

Answer: No

<em />

#6:

3(5)-4(3)=3

15-12=3

<em>(this is true)</em>

4(5)-3(3)=11

20-9=11

<em>(this is true)</em>

Answer: Yes

#11:

<em>(I tried translate the graphs to text since I can't add pictures)</em>

Line A crosses through the points (-2,4) and (4,-2)

Line B crosses through the points (-2,0) and (2,4)

Those two lines should intersect at (0,2)

This system is classified as consistent independent

#12:

Line A crosses through the points (-2,5) and (5,-2)

Line B crosses through the points (-2,0) and (0,-2)

Those two lines should NOT intersect, they're parallel to each other

The system is classified as inconsistent

I hope you get a good grade on your work! Be sure to take a short break during your work and do something you enjoy :)

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The slope intercept form for a line is y = mx + b.
                                                                 ↑      <span>↑

m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).

For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.

To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):

m = (y</span>₂ - y₁)/(x₂ - x₁)

The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points.                          ↑  ↑           ↑  ↑
                                              x₁ y₁        x₂ y<span>₂

m = (1 - 0)/(0 - 1)

m = 1 / -1

m = -1

This makes sense - since the slope is going downward, the slope is negative.

So the equation is:

y = -x + 1

____________________________________________________________

For the second problem, We  can see the line intercepts the y-axis at -5. That is our b value.

The the slope of this line is 0 since it is not going up or down, so that is our m value:

y = 0(x) - 5 = -5

The equation of the line is y = -5</span>
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