SOLUTION: choose the option that represents the equation of the line that passes through the point (-2,-3) and is perpendicular to the line 10x+2y+3
a 5x-2y=1
b x-5y=-15
c x-3y=17
d x-
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-> SOLUTION: choose the option that represents the equation of the line that passes through the point (-2,-3) and is perpendicular to the line 10x+2y+3
a 5x-2y=1
b x-5y=-15
c x-3y=17
d x-
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Question 458474: choose the option that represents the equation of the line that passes through the point (-2,-3) and is perpendicular to the line 10x+2y+3
a 5x-2y=1
b x-5y=-15
c x-3y=17
d x-5y=13
e 5x-y=13/2
f 3x+5y=-13 Answer by solver91311(24713) (Show Source):
The first thing you need to do is properly express the equation of the given line. Somewhere there needs to be an equals sign.
Put the given equation into slope-intercept form so that you can determine the slope of the given line by inspection. Perpendicular lines have slopes that are negative reciprocals. Calculate the negative reciprocal of the given line to get the slope of the desired perpendicular line.
Use the point-slope form of an equation of a line:
where are the coordinates of the given point and is the calculated slope.
Insert your values, do the arithmetic, reduce the coefficients to lowest terms, and then collect the variable terms in the LHS.
John
My calculator said it, I believe it, that settles it
