SOLUTION: find the equation of the line that passes through the given points (2,1) and (3,4)

Algebra ->  Linear-equations -> SOLUTION: find the equation of the line that passes through the given points (2,1) and (3,4)      Log On


   

Question 357581: find the equation of the line that passes through the given points (2,1) and (3,4)
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
We will use point-slope form to form this equation.

We can easily find the slope to be

%284-1%29%2F%283-2%29 which is 3%2F1

So the slope m=3

Then we use point-slope form which is

y-y1=m%28x-x1%29

So using m=3 and the point (2,1) we have

y-1=3%28x-2%29

y=3x-6%2B1

y=3x-5 this is slope-intercept form

3x-y=5 this is standard form

I hope this helps!