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lara31 [8.8K]
3 years ago
5

An equation of the line that passes through the given point and is parallel to the graph of the given equation

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

To construct the equations for these lines, we are going to use the point-slope formula, which is:

(y - y_1) = m(x - x_1)

  • m is the slope of the line
  • (x_1, y_1) is a point on the line

1)

In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)

Thus, we can "plug in" what we know into our formula to find the equation of our line:

(y + 1) = 5(x - 2)

(y + 1) = 5x - 10

y = 5x - 11


2)

We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.

(y + 5) = 9(x - 0)

y = 9x - 5


Our equations are:

1) y = 5x - 11

2) y = 9x - 5

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