Question

Find the slope of the line.

Express your answer as an integer or simplified fraction.
Use the / for the fraction bar if needed.

Answer 1

slope = -
`(1)/(4)`

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

substitute these values into the slope formula

m =
`(0-1)/(4-0)` =
`(-1)/(4)` = -
`(1)/(4)`