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Vladimir [108]
3 years ago
11

What is the solution to the equation

Mathematics
1 answer:
timurjin [86]3 years ago
4 0

the correct answer is y=2

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Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7. (hint: NOT y=3x-13)
CaHeK987 [17]

To find the equation of the line, we are going to use the point-slope form, which is listed below:

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

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

You may notice that we have a point, but no slope is given to us. However, the problem states that the line is parallel to the equation y = 3x + 7, which means that it has the same slope as this line, which is 3. (Remember that this line is set up in y = mx + b form, where m is the slope)


Thus, we can now insert our values into the point-slope formula to find the equation of our line.

(y + 1) = 3(x - 4)

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y = 3x - 13


The problem made it clear that it didn't want the form y = 3x - 13, so let's put it in standard form:

y = 3x - 13

3x - y = 13


The equation of our line is \boxed{3x - y = 13}.

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(3)(8)/4
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