SOLUTION: Find the equation of the line through the given point that is perpendicular to the given line. y=-2/3x+7, R(4,-1)

Question 42582: Find the equation of the line through the given point that is perpendicular to the given line. y=-2/3x+7, R(4,-1)
Answer by jmg(22) (Show Source): You can put this solution on YOUR website!
In the equation y = -2/3x + 7 , I am assuming the x is not on the bottom with the 3 ??????? If it is you can't work this problem in this manner. As long as the problem is (2/3)x, this is how you work it.
In the given equation the slope is the number in front of x. So the slope is
-2/3.
A line perpendicular to that line would have the negative reciprocal slope.
So the slope of the perpendicular line would be 3/2 (flip it and change the sign to the opposite)
Then you fill into point-slope form:
y - y sub 1 = m (x - x sub 1), where m is the slope and x sub 1 and y sub 1 are the coordinates of point R(4, -1) {{ sub means subscript by the way}}
Fill in the formula
y - (-1) = 3/2 (x - 4)
y + 1 = (3/2)x - 6
y = (3/2)x - 7
This is the answer in slope-intercept form. You did not specify what form to write it in!

RELATED QUESTIONS
Find the slope-intercept form of the equation that passes through the given point and is... (answered by Alan3354)

Write an equation of the line that passes through the given point and is perpendicular to (answered by stanbon)

write in slope intercept form the equation of the line that passes through the given... (answered by Alan3354)

Find the equation of the line through the given point and perpendicular to the given... (answered by stanbon,richwmiller)

Find the slope-intercept form of the equation that passes through the given point and is... (answered by MathLover1)

Find the slope-intercept form of the equation that passes through the given point and is... (answered by fractalier)

Write an equation of the line that passes through the given point and is perpendicular to (answered by Alan3354)

write in slope-intercept form the equation of the line that passes through the given... (answered by mananth)

write an equation in slope intercept form of the line that passes through the given point (answered by josgarithmetic)