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IgorLugansk [536]
3 years ago
14

Find an equation of a line that is parallel to y = 5x + 9 and passes through the point (3, 11).

Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

y = 5x - 4

Step-by-step explanation:

The equation y = 5x + 9 currently does not pass through the point (3, 11). It asks us to create the equation of a line parallel to y = 5x + 9. So all we have to change is the 9, where the line passes through the y-coordinate. The slope, 5x, has to stay the same, otherwise, the new line will not be parallel to  y = 5x + 9.

The line has to pass through to point (3, 11). The 3, stands for the x value, and 11 the y value. If we start at the y value of -4, that means the very next point would be (1, 1), and the next one, (2, 6), and the final one, (3, 11). This is because we know the slope of the line is 5x, that means for every 1 gained x value, the y value gains 5 values.

So, the equation of the new line would be this:

y = 5x - 4

I Hope That This Helps! :)

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The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.

Here, we are given that A, B and C are coordinates on the line y = x − 7.

Also, we are given the following table for x and y values of A, B and C

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coordinates   A  B  C

The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.

Thus, the coordinates of A are (-1, -8)

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1 year ago
A producer will supply 30 items at a price of $15 per item. For every $9 increase in price per item, 595 more items will be prov
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From the information given about the producer, the linear supply function will be p = 94.17x + 1382.55.

<h3>How to solve the linear supply function</h3>

The equation of the linear supply is given as mx + c.

From the information given, the equation will be:

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Also, the second equation will be:

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