Help me on 5 and 6 please

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  5a. parallel lines

  5b. distinct non-parallel lines

  5c. the same line (twice)

  6. x-3y=21; 9x+3y=9

Step-by-step explanation:

5. a. "Inconsistent" equations have no solution. As lines on a graph, they are parallel lines. (Any parallel lines will do.)

5. b. "Consistent and Independent" lines are distinct lines that are not parallel. (Any non-parallel lines will do.) They don't have to cross each other on this graph, but they need to have different slopes.

5. c. "Consistent and Dependent" lines are the same line. How you show two lines being the same line is up to you. You could label them as such, or perhaps you could draw a dashed line on top of a solid line. You need to communicate to your teacher that you know the two lines are the same.

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6. We can let 'x' represent "a number", and 'y' represent "a second number". Then the given relations are ...

  x -3y = 21

  9x +3y = 9

(These have the solution (x, y) = (3, -6).)

3

step-by-step explanation:

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.