SOLUTION: Asked to convert the following into standard form: through (-4,3) perpendicular to y=4/7x-3 I worked it out in slope intercept to come up with the perpendicular line and cam

Algebra ->  Graphs -> SOLUTION: Asked to convert the following into standard form: through (-4,3) perpendicular to y=4/7x-3 I worked it out in slope intercept to come up with the perpendicular line and cam      Log On


   

Question 1126006: Asked to convert the following into standard form:
through (-4,3) perpendicular to y=4/7x-3
I worked it out in slope intercept to come up with the perpendicular line and came up with:
y=-7/4x-4
Then to standard from which gave me:
4y+7x=-16
Is this correct? Are these lines perpendicular?
Thank you!
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
the general point-slope formula
+%28+y+-+3+%29+%2F+%28+x+-%28-4%29+%29+=+-7%2F4+
+y+-+3+=+%28-7%2F4%29%2A%28+x+%2B+4+%29+
+4y+-+12+=+-7x+-+28+
+4y+=+-7x+-+16+
+y+=+%28-7%2F4%29%2Ax+-+4+
and
+4y+=+-7x+-+16+
+7x+%2B+4y+=+-16+
we get the same answers

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your solution is correct.

For this subject, see the lesson
    - Equation for a straight line perpendicular to a given line and passing through a given point

in this site and find there the complete explanation on how to do it.

From this lesson,  learn the subject once for all.


For closely related subjects see the lessons
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point

    - OVERVIEW of lessons related to the slope of a straight line