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dexar [7]
3 years ago
9

please explain this to me. so i came across this act question. the book explains the answer but i dont understand (answer is B)​

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

we know line P is y = 3x.

parallel lines have the same slope but different y-intercept, where the graph touches the y-axis.  So then parallel lines is the same equation but shifted some either upwards or downwards or sideways.

so then line Q must be the same as P, y = 3x + "some change", well, we notice that the perpendicular distance from each other is 3 units, so then, the y-intercept of P is at (0, 0), thus the y-intercept of Q must be 3 units downwards, at (0, -3), since Q is shifted downwards, thus Q is y = 3x - 3.

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Answer:

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Step-by-step explanation:

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Combine the values:

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To find the y intercept, substitute one pair of coordinates into the equation and solve for b:

y=-3x+b\\-2=3*5+b\\-2=15+b\\-17=b.

We see that b =-17 so the full equation would be:

y=-3x-17.

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