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Finding the slope from points

Finding the slope from points-example-1
User Ducminh
by
7.7k points

2 Answers

4 votes

Answer:

m = -3

Explanation:

Given two points:

  • (-1,-7) & (1,-13)

To Find:

  • The slope

Solution:

Using slope's formulae,

  • [m denotes slope]


\boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}

According to the question, on the formula:

  • (y_2,y_1) = (-13,-7)
  • (x_2,x_1) = (1,-1)

Substitute them onto the formulae:


\rm \: m = \cfrac{ - 13 - ( - 7)}{1 - ( - 1)}

Simplify using PEMDAS:

  • P = Parentheses
  • E = exponents
  • M = Multiplication
  • D = Division
  • A = addition
  • S = subtraction


\rm \: m = \cfrac{ - 13 + 7}{1 \ + 1}


\rm \: m = \cfrac{ - \cancel6}{ \cancel2} = \boxed{ - 3}

Hence, the slope of the line that passes through the given points in it's simplest form is -3.

User Deepak Gupta
by
8.6k points
13 votes

Answer:

m = -3

Explanation:

The formula to find the slope of the line is :

slope = m =
(y_1 - y_2)/(x_1-x_2)

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 ) ⇒ ( x₂ , y₂ )

Let us solve now.

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m = ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

m = -3

User Mginn
by
8.3k points

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