Answer:
A) A
Step-by-step explanation:
The equation of a line is given by
[tex]y=mx+q[/tex]
where
m is the slope of the curve
q is the y-intercept of the curve
The two lines given in the problem are:
[tex]y=\frac{4}{3}x+2[/tex] --> slope of 4/3 and y-intercept of +2
[tex]y=5x[/tex] --> slope of 5 and y-intercept of 0
By exclusion, we see that the correct answer is A. In fact:
- Option B is wrong, because one of the two lines has negative slope, while the two lines given in the problem have both positive slope
- Option C is wrong, because one of the two lines is flat (slope=0), while none of the two lines given in the problem has a slope of zero
- Option D is wrong, because again one of the two lines has negative slope
Option A is the correct one: in fact, we see that the black line has an y-intercept of +2 and a slope of 4/3, while the green line has a slope of 5 and an y-intercept of zero.
