Write the equation, in general form, of the line that passes through the given points (4,5) (1,2)

x - y + 1 = 0

Step-by-step explanation:

The equation of a line in general form is

Ax + By + C = 0 ( A is a positive integer and B, C are integers )

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (1, 2)

m = = = 1, thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = 1 + c ⇒ c = 2 - 1 = 1

y = x + 1 ← equation in slope- intercept form

Subtract y from both sides

0 = x - y + 1, that is

x - y + 1 = 0 ← in general form

try soting them out first

step-by-step explanation: