Question

Calculate the slope of the line graphed below with endpoints (-2, 6) and (4, -2).

3/4

2/3

-4/3

-3/2

Answer 1

To calculate slope the equation
Y2-y1/x2-x1 can be used
To find slope you must have at least 2 points given to you

X Y
(-2,6)
(4,-2)
-2-6= -8
4+2= 6
-8/6 this can be simplified by dividing by 2
-4/3 is the final answer

Answer 2

Given:-

• 
  `\textsf { ( -2 , 6 )}`

`\:`

• 
  `\textsf{( 4 , -2 )}`

`\:`

To calculate:-

• 
  `\textsf{Slope of the line = ?}`

`\:`

By using formula:-

• 
  `\small{ \underline{ \boxed{ \sf \purple{ Slope ( m ) = (y_2 - y_1)/(x_2 - x_1) }}}}`

`\:`

Solution:-

• 
  `\sf \: Slope ( m ) = (y_2 - y_1)/(x_2 - x_1)`

`\:`

where,

`\star \sf{ \pink{x_1 = -2 , x_2 = 4}}`

`\star \sf{ \color{hotpink}y_1 = 6 , y_2 = -2}`

• 
  `\sf \: = (-2 - 6)/(4 - ( - 2 ))`

`\:`

• 
  `\sf \: = ( - 8)/(4 + 2)`

`\:`

• 
  `\sf \: = ( - 8)/(6)`

`\:`

[ divide by 2 ]

`\:`

• 
  `\boxed {\sf \color{skyblue} = ( - 4)/(3) }`

`\:`

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hope it helps ⸙