SOLUTION: how do you find the line equation of m=2/3,(5,-3)

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Question 413045: how do you find the line equation of m=2/3,(5,-3)
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the standard slope-intercept form for an equation of a line y = mx + b 

  where m is the slope and b the y-intercept.  

equation of line with m=2/3 and passing thru Pt((5,-3)

  y = (2/3)x + b

 -3= (2/3)*5 + b  |Using ordered pair Pt(5,-3) to solve for b

 -19/3 = b

 y = (2/3)x -19/3   OR  2x -3y = 19 in standard form

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
An equation of a line through a point P(x1 , y1) with slope m is given by
y+-+y1+=+m%28x+-+x1%29

Substitute y1 , x1 (already given) and m in the point slope form of a line

y+-+y1+=+m%28x+-x1%29
y+-+%28-3%29+=+2%2F3%28x+-5%29

y%2B3+=+%282%2F3%29x+-5%28+2%2F3%29

y%2B3+=+%282%2F3%29x+-+10%2F3

y+=+%282%2F3%29x+-++3%281%2F3%29-3
y+=+%282%2F3%29x+-++6%281%2F3%29
y+=+%282%2F3%29x+-++6.33
+graph%28+500%2C+500%2C+-10%2C+20%2C+-20%2C+20%2C+%282%2F3%29x+-++6.33%29+



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