Question

Find the slope of line which passes through the points A(2,0)and B(3,4)​

Answer 1

Solution -

We have two points through which the line passes, i.e.,

• A(2, 0)
• B(3, 4)

⠀

We have to find the slope of the line. For this, we will use the given formula.

$\large{\bf{\longmapsto{\boxed{\pink{Slope(m) = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}}$

⠀

Here,

• $\sf{x_1 = 2\: and\: x_2 = 3}$
• $\sf{y_1 = 0\: and\: y_2 = 4}$

⠀

Putting values in the formula

$\tt\dashrightarrow{Slope = \dfrac{4 - 0}{3 - 1}}$

⠀

$\tt\dashrightarrow{Slope = \dfrac{4}{2}}$

⠀

$\frak\dashrightarrow{\purple{Slope = 2}}$

⠀

$\underline{\sf{Thus,\: slope\: of\: the\: line\: is\: 2.}}$

Answer 2

Given :

• A(2,0)
• B(3,4)

To Find :

• Slope of line

Solution :

We can take A(2,0) and B(3,4) as,

• x₁ = 2 , x₂ = 3
• y₁ = 0 , y₂ = 4

By using slope formula,

⇒ m = y₂ - y₁ / x₂ - x₁

⇒ m = 4 - 0 / 3 - 2

⇒ m = 4 / 3 - 2

⇒ m = 4 / 1

⇒ m = 4

•°• Hence, The slope of line is 4

_____________________________

★ Additional information :

TYPES OF STRAIGHT LINES :

• Slope and Intercept form

• Point and Slope form

• The two point form

• Intercepts form

• Normal form

• Parametric form

Note : In this answer, we have used " THE TWO POINT FORM " equation.

⠀⠀⠀⠀⠀⠀⠀⠀⠀