Question

Slope Formula Quiz.

Find the slope of the line that passes through
3) (2,-5) and (-4,1)

Answer 1

The answer is:

-1

Work/explanation:

To find the slope of the line through the given two points, I use the formula:

`\bf{m=(y_2-y_1)/(x_2-x_1)}`

where,

m = slope

(x₁, y₁) and (x₂, y₂) are points on the line

Plug in the data:

`\bf{m=(1-(-5))/(-4-2)}`

`\bf{m=(1+5)/(-6)}`

`\bf{m=(6)/(-6)}`

`\bf{m=-1}`

Therefore, the slope is -1.

Answer 2

slope = - 1

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (2, - 5 ) and (x₂, y₂ ) = (- 4, 1 )

m =
`(1-(-5))/(-4-2)` =
`(1+5)/(-6)` =
`(6)/(-6)` = - 1