SOLUTION: A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and giv
Algebra.Com
Question 998373: A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and give the correct equation.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and give the correct equation.
----------
y = 2x+1
-------
slope = 2
------
Perpendicular line ::
slope = -1/2
-----
Perpendicular line Equation::
Form: y = mx + b
Solve for "b"::
3 = (-1/2)(4) + b
3 = -2 + b
b = 5
-----
Equation:
y = (-1/2)x + 5
-----------------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
Write the equation of the line that passes through the point (2,-4) and is perpendicular... (answered by scott8148)
Find the equation of the line that is perpendicular to the line in y=-1/4+2x and passes... (answered by Fombitz,ewatrrr)
write an equation of a line that passes through the point A(-6,1) and is perpendicular to (answered by Boreal)
Write an equation of a line that passes through the point (-1,2) and is perpendicular to... (answered by josgarithmetic,Boreal,MathLover1)
Find the equation for the line that passes through the point (2,2) and that is... (answered by ewatrrr)
1.Write the equation of a line in slope-intercept form that is perpendicular to the line (answered by richwmiller)
Find the equation of a line that passes through the point (4,2) that is perpendicular to... (answered by Alan3354)
The equation of a line is given by y=(4/50)x-12
Find the equation of a line... (answered by richwmiller)
Find the equation of the line that passes through point (4,7) and that is perpendicular... (answered by Alan3354,nerdybill)