Question

What is the slope of the line that goes through the points (-4, 5) and (6, 2)?​

Answer 1

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Answer:
`\textsf{-3/10}`

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Given:
`\textsf{Points (-4, 5) and (6, 2)}`

Find:
`\textsf{Slope of the line that goes between the points}`

Solution: In order to determine the slope of a line we need to follow the slope formula to determine it. Just plug in the values and simplify.

Plug in the values

• 
  `m = (y_2 - y_1)/(x_2 - x_1)`

• 
  `m = (2 - 5)/(6 - (-4))`

Simplify the expression

• 
  `m = (-3)/(6 + 4)`

• 
  `m = -(3)/(10)`

Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.