What is the general form of the line that passes through the points (0,1) and (2,3)

Answer 1

Hi Yesenia:

Let's find the quick way to do this kind of problem.

The general equation for a straight line is y = mx + b where m = slope of the line and b = Y-intercept

First, let's find m which is defined as: m = (y₂ - y₁) / (x₂ - x₁) where 2 is one of the points & 1 is the other

= (3 - 1) / (2 - 0)

= 2/2

= +1

So, the equation is of form: y = 1 x +b

To find b, we note that both points are on the line so they both fir the equation of the line.

Therefore, we can substitute either point's X and Y values into eqn (1)

3 = 2 + b using the point (3, 2) but we could have used the other point, too

=> b = 1

So, our desired equation of the line is: y = x + 1