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4. Line f containing points Mand N
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4 Line F Containing Points Mand N class=

Sagot :

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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]