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

Answer:

Option (3) is correct.

Slope of the given equation $y=\frac{4}{5}x-3$ is $\frac{4}{5}$

Step-by-step explanation:

Given equation $y=\frac{4}{5}x-3$

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  $m=\frac{4}{5}$

Way 2)

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

Derivative $y=\frac{4}{5}x-3$ with respect to x, we get,

$\frac{dy}{dx}=\frac{4}{5}$

Thus, slope of the given equation $y=\frac{4}{5}x-3$ is $\frac{4}{5}$

Thus, option (3) is correct.