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makvit [3.9K]
3 years ago
12

Which equation of the line that is parallel to the line 5x + 2y =12 and passes through point -2,4

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0

Answer:

The equation of the line would be y = -5/2x - 1

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

5x + 2y = 12

2y = -5x + 12

y = -5/2x + 6

Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = -5/2(x + 2)

y - 4 = -5/2x - 5

y = -5/2x - 1

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The solutions of linear equations in the procedure

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Part 1) we have

x+y=-1 ----> equation A

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Part 2) we have

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Solve the system by elimination

Multiply the equation A by -2 both sides

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------------------

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