Question

Which graph represents the solution for the equation 4 3 x + 2 = 5x? A) A B) B C) C D) D

Answer 1

The answer

D) D

Explanation:

I knew this because one, i just did the test and two the previous answer that was given was incorrect

Answer 2

A) A

Explanation:

The equation of a line is given by

`y=mx+q`

where

m is the slope of the curve

q is the y-intercept of the curve

The two lines given in the problem are:

`y=(4)/(3)x+2` --> slope of 4/3 and y-intercept of +2

`y=5x` --> 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.