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heavenwagner
25.10.2020 •
Mathematics
What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x + 3y = 272
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Ответ:
y = 3x + 3
Step-by-step explanation:Rules of Perpendicularity
1 - Find your first equation
x + 3y = 272 | 1.1 - get y by itself by first subtracting x
-x -x
3y = -x + 272 | 1.2 - divide both sides by 3 and you've got it simplified
That 272 over 3 looks pretty intimidating, however, all we really care about is that slope
2 - Use the slope to find the perpendicular
3 - Use the perpendicular y = mx + b to find b when it passes through said point
y = 3x + b must pass through (1, 6) or (x, y)
Plug x and y in
6 = 3(1) + b
6 = 3 + b
-3 -3
3 = b
4.) Rewrite y=mx+b form with the found b
y = 3x + 3
Hope this helps,
- J.M.Jamon
Pennsylvania State University
Full-time B.S.CE. undergrad student
Ответ: