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Umnica [9.8K]
3 years ago
15

If the line passing through the points (a, 1) and (−2, 6) is parallel to the line passing through the points (−12, 9) and (a + 2

, 1), what is the value of a?
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

\frac{6 - 1}{ - 2 - a}  =  \frac{9 - 1}{ - 12 - a - 2}  \\  \frac{5}{ - 2 - a}  =  \frac{8}{ - 14 - a}  \\ 16 + 8a = 70 + 5a \\ 3a = 54 >  > a = 18
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A line with slope 3 passes through the point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2?
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Hello!

So to find the y-coordinate we need an equation for the line. The equation we can use is

y = mx + b

In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.

10 = 3(0) + b
10 = 0 + b
10 = b

So now that we've found b, we can use this in our equation

y = 4x + b

So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.

y = 4(2) + 10
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Answer:

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Step-by-step explanation:

The best equation for the line of the best fit would be y = 45 / 2x + 50.

The slope would be 45 / 2 and the y-intercept would be ( 0 , 50 ).

I used the points, ( 0 , 50 ) and ( 4 , 140 ) to get the equation, slope, and the y-intercept.

I used those points because they were the most accurate ones that I know for now.

Also, remember the formula is, "y = mx + b."

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