SOLUTION: Write an equation of each line. Write the equation in the form y=mx+b
Through (-2.-3) perpendicular to 2x-3y=1
Algebra ->
Linear-equations
-> SOLUTION: Write an equation of each line. Write the equation in the form y=mx+b
Through (-2.-3) perpendicular to 2x-3y=1
Log On
Question 159762: Write an equation of each line. Write the equation in the form y=mx+b
Through (-2.-3) perpendicular to 2x-3y=1 Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Write an equation of each line. Write the equation in the form y=mx+b
Through (-2.-3) perpendicular to 2x-3y=1
---------------------
First find the slope of the eqn by putting it into the slope-intercept form.
2x-3y = 1
-3y = 1 - 2x
y = (2/3)x - 1/3
The slope m = 2/3
A line perpendicular has a slope that's the negative inverse, or -3/2.
Then use the slope intercept eqn to find the formula:
y-y1 = m*(x-x1)
y-(-3) = (-3/2)*(x - (-2))
y+3 = (-3/2)x + 3
y = -3x/2 slope-intercept form
3x + 2y = 0 standard form
