SOLUTION: Which of the following is the equation of a line perpendicular to
9y = 3x + 5 that passes through (-2,3)?
y = -3x - 3
3y - 6x = 10
y - 3x = -3
y = -3x - 6
I really don't
Algebra.Com
Question 457603: Which of the following is the equation of a line perpendicular to
9y = 3x + 5 that passes through (-2,3)?
y = -3x - 3
3y - 6x = 10
y - 3x = -3
y = -3x - 6
I really don't understand this.
Found 2 solutions by nerdybill, richwmiller:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Which of the following is the equation of a line perpendicular to
9y = 3x + 5 that passes through (-2,3)?
y = -3x - 3
3y - 6x = 10
y - 3x = -3
y = -3x - 6
.
Begin by finding the slope of:
9y = 3x + 5
y = (3/9)x + 5/9
y = (1/3)x + 5/9 (slope-intercept form)
we see that the slope is 1/3
a line perpendicular would have to have a slope that is the negative reciprocal -- which is -3
easiest way to inspect the four given answer looking for a -3 slope
y = -3x - 3 (yes)
3y - 6x = 10 (no)
y - 3x = -3 (no)
y = -3x - 6 (yes)
.
now, you only have to pick from two:
y = -3x - 3
y = -3x - 6
to eliminate one we use the given point:(-2,3)
Only the "top" equation works:
y = -3x - 3
3 = -3(-2) - 3
3 = 6 - 3
3 = 3
.
Answer: y = -3x - 3
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We have to determine the slope of the line
9y = 3x + 5 which is 1/3
then we have to find the slopes of the potential answers
WE are looking for a slope of -3
y = -3x - 3
y = -3x - 6
both have a slope of -3
Is the point (-2,3) on any of those lines
3=-3*-2-3
3=6-3
3=3
y = -3x - 3
works
RELATED QUESTIONS
1) how do you write in slope-intercept form of the line that passes through (6,-13) and... (answered by jim_thompson5910)
what is the equation of the line that passes through (–2, 4) and is perpendicular to 6x + (answered by josgarithmetic,MathTherapy)
1-which of the following equations passes through the points (2,4) and (-3,-6)?
2-Given... (answered by stanbon)
1. What is the graph of a line that passes through (3,3), perpendicular to
graph... (answered by drj)
Write the equation of the line in slop-intercept form of the line that is perpendicular... (answered by venugopalramana)
Find the equation of the line that passes through (5,0) and has a slope of -2/3 (Points... (answered by Tatiana_Stebko)
Determine the equation of a line that passes through the point (3,-2)
Is perpendicular... (answered by Fombitz)
Which of the following is the equation of a line parallel to 3y = 12x + 5 that... (answered by josmiceli)
which equation of the line passes through (3,-2) and is parallel to... (answered by stanbon)