SOLUTION: Find the slope intercept equation of the line: perpendicular to 4x+5y=3 and pass through (0,5) I need help finding the equation to this problem :) Thanks.
Algebra ->
Linear-equations
-> SOLUTION: Find the slope intercept equation of the line: perpendicular to 4x+5y=3 and pass through (0,5) I need help finding the equation to this problem :) Thanks.
Log On
Question 741281: Find the slope intercept equation of the line: perpendicular to 4x+5y=3 and pass through (0,5) I need help finding the equation to this problem :) Thanks. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Find the slope intercept equation of the line: perpendicular to 4x+5y=3 and pass through (0,5)
:
Find the slope of the given equation first, put in the slope intercept form
4x + 5y = 3
put in the slope intercept form (y = mx + b)
5y = -4x + 3
divide eq by 5
y = x +
Slope m1 =
:
The relationship of the slopes of perpendicular lines can be written:
m1 * m2 = -1 * m2 = -1
find m2, the slope of the perpendicular line
m2 = -1 *
m2 =
:
Use the point/slope form to find the equation y - y1 - m(x - x1)
where
m = =
x1 = 0
y1 = 5
y - 5 = (x - 0)
y = x + 5; the equation of the perpendicular line
:
Lots like this
