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marta [7]
1 year ago
12

Finding the slope from points

Mathematics
2 answers:
Nikitich [7]1 year ago
7 0

Answer:

<em>m = -3</em>

Step-by-step 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.

nekit [7.7K]1 year ago
5 0

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = \frac{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 )

<u>Let us solve now.</u>

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m =  ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

<u>m = -3 </u>

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Given: ABCD trapezoid<br> BC=1.2m, AD=1.8m<br> AB=1.5m, CD=1.2m<br> AB∩CD=K<br> Find: BK and CK
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Step-by-step explanation:

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