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MATH / The line l passes through the midpoint of (1,2) and (19,4). Also, line l is perpendicular to the line passing through (0,7) and (4,−3). What is the y-coordinate of the point on l w…

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problem

The line ll passes through the midpoint of (1,2)(1,2) and (19,4)(19,4). Also, line ll is perpendicular to the line passing through (0,7)(0,7) and (4,−3)(4,-3). What is the yy-coordinate of the point on ll whose xx-coordinate is 2020?
Plain-text mathematical notation (without MathML)
The line l passes through the midpoint of (1,2) and (19,4).  Also, line l is perpendicular to the line passing through (0,7) and (4,−3). What is the y-coordinate of the point on l whose x-coordinate is 20?
Original LaTeX notation
The line $l$ passes through the midpoint of $(1,2)$ and $(19,4)$.  Also, line $l$ is perpendicular to the line passing through $(0,7)$ and $(4,-3)$. What is the $y$-coordinate of the point on $l$ whose $x$-coordinate is $20$?

level

Level 5

type

Algebra

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Source and history

task_id
0c2b8fe5-3f9c-5ba0-b033-1854c4a42b58
task_key
algebra--test--0c2b8fe5-3f9c-5ba0-b033-1854c4a42b58
task_revision_id
1
config / split
algebra / test

Official source

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