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19 and 20

19. y = 2/3x - 10/3

20. y = -3/2x - 4

Step-by-step explanation:

First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.

19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.

To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.

-2 = (2/3) * 2 + b

b + 4/3 = -2

b = -6/3 - 4/3

b = -10/3.

So, the equation of the line is y = 2/3x - 10/3.

20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.

To solve for b, once again, put in the given coordinates, (-4, 2), and solve.

2 = (-3/2) * (-4) + b

b + 6 = 2

b = -4

So, the equation of the line is y = -3/2x - 4.

Hope this helps!

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !