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PilotLPTM [1.2K]
3 years ago
8

Please help me I don’t get this Write the equation of the line that is parallel to y=3x-2 and goes through the points (-4,2)

Mathematics
1 answer:
Elena L [17]3 years ago
4 0
Alright so answer is y=3x+14

Since you need to find a PARALLEL line to y=3x-2, you already know that the incline is 3x because otherwise the two lines would intersect somewhere.

So for your new equation you now have y=3x+b, so you only need to find b. To do so you’ll need to replace all other variables by numbers with the point that is given and then isolate b.

You can do so with the point that is given to you (-4, 2). You replace y by 2 since the point is (x,y) and replace x by -4.

You now have
2=3(-4)+b
2=-12+b
2+12=b
14=b

You now have your equation: y=3x+14
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Help pls and tysm because I'm not strong in this area. ​
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Alright, first thing's first, simplify the equation as much as you can. If you wanted, I suppose you could just multiply everything by 40, but that's super unconventional.

7x/8 - 3x/8 = 1/5 + 3/10

Simplify:
4x/8 = 1/5 + 3/10

Make sure that when subtracting or adding fractions that the denominators (The number on the bottom of the fraction) are equal.

In order to add 1/5 and 3/10 together, all we have to do is ensure that both denominators are equal.

To do this, simply multiply 1/5 by 2/2. The new fraction will be 2/10 (You can do this since it's the exact same fraction, 2/10 will simplify down to 1/5. The reason we did this was to make sure that the two fractions had equal denominators).

Our equation now looks like this:
4x/8 = 2/10 + 3/10

Add the fractions on the right:
4x/8 = 5/10

Huh, whaddya know? Both the fraction on the left and the right can be simplified into 1/2! (4/8 becomes 1/2, and 5/10 becomes 1/2)

1x/2 = 1/2
x/2 = 1/2

If you want to, I suppose you could cross multiply to check, but the answer's already pretty obvious.

x = 1

Good luck! If you need me to explain anything I did here, just ask :))
-T.B.
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Step-by-step explanation:

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