SOLUTION: i need help with this problem: Write the equation of the line slope-intercept the line that is perpendicular to y=(-5/3)x-2 and passes through (-3, -3).

Algebra ->  Linear-equations -> SOLUTION: i need help with this problem: Write the equation of the line slope-intercept the line that is perpendicular to y=(-5/3)x-2 and passes through (-3, -3).      Log On


   

Question 86290: i need help with this problem: Write the equation of the line slope-intercept the line that is perpendicular to y=(-5/3)x-2 and passes through (-3, -3).
Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the given line is -5%2F3. The slope of a line perpendicular to it is its opposite reciprocal, which is 3%2F5. So, you're looking for a line with a slope of 3%2F5 and going through the point (-3 , -3):
y = 3%2F5x + b
Plug in the given coordinates (-3 , -3) to find the appropriate value of b:
-3 = 3%2F5(-3) + b
-3 = -9%2F5 + b
-3 - 9%2F5 = b
-24%2F5 = b
Equation is y = 3%2F5x - 24%2F5