Using linear function concepts, the correct statement is given by:
Line l has a greater slope, because [tex]\frac{5}{3}[/tex] is greater than [tex]\frac{1}{3}[/tex].
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Line l is given by:
[tex]y = \frac{5}{3}x[/tex].
For line m, considering that the slope is given by change in y divided by change in x, the slope is:
[tex]m = \frac{2 - 0}{3 - (-3)} = \frac{1}[3}[/tex]
Hence, the correct statement is:
Line l has a greater slope, because [tex]\frac{5}{3}[/tex] is greater than [tex]\frac{1}{3}[/tex].
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
