Answer:
Option (3) is correct.
Slope of the given equation [tex]y=\frac{4}{5}x-3[/tex] is [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given equation [tex]y=\frac{4}{5}x-3[/tex]
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 [tex]m=\frac{4}{5}[/tex]
Way 2)
Slope can be find by evaluation derivative of the given line with respect to x,
Derivative [tex]y=\frac{4}{5}x-3[/tex] with respect to x, we get,
[tex]\frac{dy}{dx}=\frac{4}{5}[/tex]
Thus, slope of the given equation [tex]y=\frac{4}{5}x-3[/tex] is [tex]\frac{4}{5}[/tex]
Thus, option (3) is correct.
