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what is an equation of the line that passes through the point (4,5) and is parallel to the line whose is equation is y=2/3x-4

1 Answer

5 votes

Answer:

y = 2/3x + 7/3

Explanation:

We know

The line pass through the point (4,5)

The equation is: y = 2/3x - 4

m = 2/3

To solve this, we can use the fact that parallel lines have the same slope. Since the parallel line we're looking for has the same slope, we can use the point-slope form of a linear equation to find its equation:

y - y1 = m(x - x1)

y - 5 = 2/3(x - 4)

y - 5 = 2/3x - 8/3

y = 2/3x + 7/3

So, the answer is y = 2/3x + 7/3

User Simen Echholt
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