Honors Problem 8

Question

Write Standard Form for a line with the points (1,4) and (3,9)

Answer 1

The standard form of a line is written in the form: Ax + By = C

With the two points (1,4) and (2,5), we can calculate the slope, then plug in the slope and either of the two points into the point-slope formula to get the equation of the line.

 

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - 4) / (2 - 1)

m = 1 / 1

m = 1

 

You only have to pick one of the two points, they will both give you the same answer:
y - y₁ = m (x - x₁)
y - (4) = (1) (x - (1))
y - 4 = x - 1
y = x + 3
-x + y = 3