A line passes through 2 1 3 and is perpendicular to the lines
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Step-by-step explanation:
Convert the given equation to slope-intercept form.
3x+5y=15
5y=−3x+15
y=−35+3
The slope of this line is −35. The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal.
The perpendicular slope is 53.
Plug the new slope and the given point into the slope-intercept form to find the y-intercept.
2=53(3)+b
2=5+b
b=−3
So the equation of the perpendicular line is y=53x−3.
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