How do you write the equation in slope intercept form given (1,1):(3,2)?

1 Answer
Jun 9, 2017

y=1/2x+1/2

Explanation:

  • Algebraic form is Ax+By=C where A, B and C are constants that depend on the question.
  • Slope-intercept form is y=mx+c where m is the gradient and (0,c) is the y-intercept.

m=(y_2-y_1)/(x_2-x_1) for a line containing the points (x_1,y_1) and (x_2,y_2).

For (1,1) and (3,2),
m=(2-1)/(3-1)
m=1/2

Therefore, y=1/2x+c. To find c, substitute (1,1) into this equation.
1=1/2×1+c
c+1/2=1
c=1/2

Substitute c value back into equation,
y=1/2x+1/2