SOLUTION: The equation of the line perpendicular to y= 1/3x + 8 and through (7,-4) Is what? Will you please show steps!

Algebra.Com
Question 1046522: The equation of the line perpendicular to y= 1/3x + 8 and through (7,-4)
Is what?
Will you please show steps!

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!



Steps were not shown. Do you know why, and how to see through the concepts quickly? If you want the equation result to be in slope-intercept form, you simply need to do a couple simple algebra steps.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

This is a linear ( straight line ) equation which
is in the slope-intercept form. In general, the
slope-intercept form looks like:

where = slope of the line
--------------------------------
In this case,
The slope of ANY line perpendicular to
this line will have a slope of:



-----------------------
So far, you know the perpendicular line looks like:

The perpendicular line goes through ( 7,-4 )
Use the point-slope formula to find
----------------------------------------




-----------------------------
check answer:
does it go through ( 7,-4 ) ?




OK
Here is the plot of both lines:

RELATED QUESTIONS

Find an equation of the line that passes through the point (2,-7) and is perpendicular to (answered by MathLover1,ewatrrr)
what is the slope of a line is perpendicular to the line y=3x-4 please show me the... (answered by nyc_function)
what is the equation of a line perpendicular to y=3x-7 and goes through... (answered by mananth)
What is an equation of the line that passes through the point (-2,5) and is perpendicular (answered by josmiceli)
what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ? (answered by mananth,htmentor)
what is the equation of the line perpendicular to 3x+2y=5 and having y- intercept of... (answered by timvanswearingen,unlockmath)
What is the equation if the line perpendicular to y= 2x + 7 and is passing through (1,... (answered by stanbon)
1) is the equation of a line that is perpendicular to the line given by the equation y=2? (answered by Boreal)
Determine the equation of a line through the point (3,-4) that is perpendicular to the... (answered by richard1234)