Question

What is the slope of the line represented by the equation y = x – 3?

Answer 1

What is the slope of the line represented by the equation?
C. 4/5

Answer 2

Option (3) is correct.

Slope of the given equation
`y=(4)/(5)x-3` is
`(4)/(5)`

Explanation:

Given equation
`y=(4)/(5)x-3`

We have to find the slope of the above line.

Way 1)

An equation of the form y=mx+b, where m is the slope and b is the y-intercept.

Comparing we get
`m=(4)/(5)`

Way 2)

Slope can be find by evaluation derivative of the given line with respect to x,

Derivative
`y=(4)/(5)x-3` with respect to x, we get,

`(dy)/(dx)=(4)/(5)`

Thus, slope of the given equation
`y=(4)/(5)x-3` is
`(4)/(5)`

Thus, option (3) is correct.