Answer:
1. Let's say we have two points
[tex]\( M(x_1, y_1) \) \: and \: \( N(x_2, y_2) \).[/tex]
2. The slope ( m ) of the line through these points is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
3. Using the slope and point
[tex]\( M(x_1, y_1) \),[/tex]
the
Equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex] \text{To illustrate, let's take points}
\: \( M(1, 2) \) \: and \: \( N(3, 4) \):[/tex]
1. Slope ( m ):
[tex]m = \frac{4 - 2}{3 - 1} = 1[/tex]
2. The equation using point ( M ):
[tex]y - 2 = 1(x - 1)[/tex]
This simplifies to:
[tex]y = x + 1[/tex]
The equation of the line is
[tex]\( y = x + 1 \).[/tex]
