Question

What is the slope of a line that passes through the points (5, 3) and (5, -9)?

Answer 1

Answer:

Explanation:

Given :

• Points are (5 , 3) & (5 , -9).

To Find :

• Slope of a line.

Solution :

Let, A(5 , 3) & B(5 , -9).

Here,

• x₁ = 5
• y₁ = 3
• x₂ = 5
• y₂ = -9

Formula for "Slope of a line" is given as ;

• m = y₂ - y₁/x₂ - x₁

=> m = -9 - 3/5 - 3

=> m = -12/2

=> m = -6

Hence :

Slope of a line is -6.

Know to more :

• Distance formula, ie,,.. d = √(x₂ -x₁)² + (y₂ - y₁)²
• Section formula, ie,,.. x = mx₂ + nx₁/m + n & x = my₂ + ny₁/m + n
• Midpoint formula, ie,,.. x = x₁ + x₂/2 & y = y₁ + y₂/2
• Centroid formula, ie,,.. x = x₁ + x₂ + x₃/3 & y = y₁ + y₂ + y₃/3

Answer 2

$\huge\mathcal{\fcolorbox{lime}{black}{\pink{ANSWER}}}$

$\huge\sf\underline{\underline{\pink{GIVEN :}}}$

• The points that are given = (5, 3) & (5, -9).

$\huge\sf\underline{\underline{\pink{TO \: FIND :}}}$

• The slope of a line that passes through the points.

$\huge\sf\underline{\underline{\pink{SOLUTION :}}}$

⠀⠀⠀⠀⠀$\pink\bigstar \: x1 = 5$

⠀⠀⠀⠀⠀⠀$\pink\bigstar \: y1 = 3$

⠀⠀⠀⠀⠀⠀⠀$\pink\bigstar \: x2 = 5$

⠀⠀⠀⠀⠀⠀⠀⠀$\pink\bigstar \: y2 = -9$

Now put the values,

$m = y2 - \frac{y1}{x2} - x1$

$→ \: m = - 9 - \frac{3}{5} - 3$

$→ \: m = \frac{ - 12}{2}$

$→ \: m = \small\boxed{{\sf\pink{ -6 }}}$

$\huge\boxed{{\sf\pink{Hence, \: the \: slope \: of \: a \: line \: is \: -6.}}}$

Hope it Helps Buddy ❤️