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equation for slope

A line passes through the point and has a slope of . Write an equation for this line.

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Mandy;
Point-slope formula is...
y-y1=m(x-x1)
m=slope
You can input the point provided either as (x,y) or (x1,y1).  I always do the latter.
Let's me provide an example.
slope -4/5
point (5,3)
y-3=(-4/5)(x-5)
y-3=(-4/5)x+4
Let's add 3 to both sides...
y-3+3=(-4/5)m+4+3
y=(-4/5)x+7
The equation is now in slope-intercept form...
y=mx+b
m is the slope.
b is the y-intercept, the value of y when x=0. 
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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Line passes through ( X1, Y1 )  with slope m
 
  Y = m X + b 
 
 
   b = Y1- mX
 
  Y = mX + ( Y1- m X1 )