Question

Use the slope of a line formula to find the slope of the following points: (3, 9) and (8, 15)

Answer 1

m = 6/5

Explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (3, 9) and (8, 15)

We see the y increase by 6 and the x increase by 5, so he slope is

m = 6/5

Answer 2

The slope of the points is 6/5.

Step-by-step explanation:

SOLUTION :

Using slope of a line formula to find the slope of the points :

`\quad\dashrightarrow{\sf{m = (y_2 - y_1)/(x_2 - x_1)}}`

• 
  `\pink\star` m = slope
• 
  `\pink\star`
  `(x_1, y_1)` coordinates of first point in the line
• 
  `\pink\star`
  `(x_2, y_2)` = coordinates of second point in the line

Substituting all the given values in the formula to find the slope of the points :

`\quad\dashrightarrow{\sf{m = (y_2 - y_1)/(x_2 - x_1)}}`

• 
  `\blue\star` y_2 = 15
• 
  `\blue\star` y_1 = 9
• 
  `\blue\star` x_2 = 8
• 
  `\blue\star` x_1 = 3

`\quad\dashrightarrow{\sf{m = (15 - 9)/(8 -3)}}`

`\quad\dashrightarrow{\sf{m = (6)/(5)}}`

`\quad{\star\underline{\boxed{\sf{\red{m = (6)/(5)}}}}}`

Hence, the slope of the points is 6/5.

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