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).
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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) (Show Source): You can put this solution on YOUR website!
The slope of the given line is . The slope of a line perpendicular to it is its opposite reciprocal, which is . So, you're looking for a line with a slope of and going through the point (-3 , -3):
y = x + b
Plug in the given coordinates (-3 , -3) to find the appropriate value of b:
-3 = (-3) + b
-3 = + b
-3 - = b
= b
Equation is y = x -
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