SOLUTION: The books says to write an equation in slope intercept form for the line that satisfies each set of conitions. The problem says: passes through (3,2),perpendicular to the graph

Question 988027: The books says to write an equation in slope intercept form for the line that satisfies each set of conitions.
The problem says: passes through (3,2),perpendicular to the graph of 4x-3y=12
*How do I write this in intercept form?*
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39629) (Show Source): You can put this solution on YOUR website!
An equation in Ax+By=C can be put into SLOPE-INTERCEPT form through solving for y and then simplifying.

The slope for the line YOU want for the equation you want to find is . Actually, you can start from standard form, and give a member of 3x+4y=c, and you are given a point that must be on this new line, so you can find c:

Review this discussion and continue to solve until finished.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The problem says: passes through (3,2),perpendicular to the graph of 4x-3y=12
:
Find the slope of the given equation, put it in the slope intercept form
4x - 3y = 12
-3y = -4x + 12
we want y to be positive, multiply equation by -1
3y = 4x - 12
divide by 3
y = x - 4
slope (m1) = 4/3
the relationship of slope of perpendicular lines m1 * m2 = -1, find m2 when
* m2 = -1
m2 = -1 *
m2 = is the slope of the perpendicular line
:
Find slope intercept form of this line; y = mx + b
x=3, y=2, m= -3/4, find b
2 = (3) + b
2 = + b
2 = -2.25 + b
2 + 2.25 = b
b = 4.25
then
y = x + 4.25 is the equation of the perpendicular line (Red)
:
Graphically

Note the red line passes thru x=3, y=2
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