slope intercept equation

Question

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 Name all  forms of linear equations . If (1, 2) and (3, 4) lie on the same line, give the slope-intercept equation of the line.

Answer 1

Hello, May

 

Well, the first thing we need to do is find the slope of the line.  I am going to call (1,2) (x1,y1) and (3,4) will be (x2,y2).

 

The formula for the slope is

(y2-y1)/(x2-x1)            Substituting

(4-2)/3-1)= 2/2=1 

 

So the slope of this line is one.  Now, I am going to pick the first point, (1,2) and use it to find the equation of this line.  I am going to use the POINT-SLOPE FORM, which is

 

y-y1=m(x-x1)         Substituting x1=1, y1=2, m=1

y-2=1(x-1)              This is the point slope form

y-2=x-1                   Using the distributive property

  +2   +2                 Adding 2 to both sides

y=x+1                     This is the slope-intercept form

x-y= -1                    This is the standard form

 

I hope this helps you out.  Please rate my answer :)

 

D. Y. Taylor