SOLUTION: please help me solve this equation: find the equation of the line that passes through the given slope: (3, -3), m=2

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Question 33437: please help me solve this equation: find the equation of the line that passes through the given slope: (3, -3), m=2
Found 2 solutions by Earlsdon, mukhopadhyay:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line that passes throught the given point (3, -3) and which has the slope m = 2.
The easiest way to do this is to use the "point-slope" form of the equation of a line:
%28y-y1%29+=+m%28x-x1%29
The equation of your line is:
%28y-%28-3%29%29+=+2%28x-3%29 Simplify.
%28y%2B3%29+=+2%28x-3%29 This is the equation.
If you need the "slope-intercept" form:y+=+mx%2Bb, then, using the given slope m = 2 and the x- and y-coordinate of the given point (3, -3):
-3+=+2%283%29+%2B+b Solve for b, the y-intercept.
-3+=+6+%2B+b Subtract 6 from both sides of the equation.
-9+=+b
The final equation, in "slope-intercept" form is:
y+=+2x+-+9

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
The slope intercept form is y = mx+b;
m=2; the equation translates to y = 2x+b;
Since the line passes thru (3,-3):
-3 = 2(3) + b
=> b = -9;
Answer: The required equation is y = 2x-9