Question

find the slope of the line passing through the points (3, -2) and ( 7,-2)​

Answer 1

Answer:

Slope of the line passing through the given points (3, -2) and (7, -2) is 0

Explanation:

Let the given points be :-

• A(3, -2)
• B(7, -2)

Slope of the line is given by :-

$\blue{ \longrightarrow \: \boldsymbol{ \dfrac{y_2 - y_1}{x_2 -x_1 }}}$

Where,

• $\boldsymbol{x_1 = 3 \: {\sf{and}} \: x_2 = 7}$
• $\boldsymbol{y_1 = -2 \: {\sf{and}} \: y_2 = -2}$

Substituting the values,

$\boldsymbol{= \dfrac{ - 2 - ( - 2)}{7 -3 }}$

$\boldsymbol{ = \dfrac{ - 2 + 2}{4} }$

$\boldsymbol{ = \dfrac{0}{4}}$

$\boldsymbol{= 0}$

Hence, the slope of the line passing through the points A and B is 0

_____________________

Formula used :-

$\longrightarrow \: \boldsymbol{ \dfrac{y_2 - y_1}{x_2 -x_1 }}$

Where,

$\boldsymbol{(x_1, y_1)}$ denotes coordinates of first point in the line

$\boldsymbol{(x_2, y_2)}$denotes coordinates of second point in the line

Answer 2

✬ The slope of the line passing through the points (3,-2) and (7,-2) is 0. ✬

Step-by-step explanation:

Given:-

• The slope of the line passing through the points (3,-2) and (7,-2).

To find:-

• The slope of the line

Required Formula:-

• Slope = y₂-y₁/x₂-x₁

Solution:-

• Let the points (x₁, y₁) be (3,-2) and (x₂, y₂) be (7,-2).

Now, Applying the values,

$\\ :\implies\sf{slope = \frac{ - 2 - ( - 2)}{7 - 3} } \\ \\ :\implies\sf{slope = \frac{0}{4} } \\ \\ :\implies \underbrace{\boxed{\frak{ \pink{slope = 0}}}} \: \bigstar$

• So,The slope of the line is 0.