Question

which of the following could be the equation of the graph shown below? A.2x-y=7 B.3x+2y=6 C.y=5 D. y=-4x+2

Answer 1

The graph has no scale, so we can only make conclusions based on:
1. slope is negative (true), zero, or positive
    slope is coefficient of x when equation is in standard form
2. y-intercept is negative, zero, or positive (true)
    y-intercept is value of y when x=0
3. x-intercept is negative, zero, or positive (true).
    x-intercept is value of x when y=0




Now let's look at the given answer choices:
A. 2x-y=7 => y=2x-7  => slope=2 >0 (false); => FALSE
B. 3x+2y=6 => y=-1.5x+6 => slope<0 (true); y-intercept>0 (true); x-intercept=6/3=2 >0 (true)  => TRUE
C. y=5 => slope=0 (false) => FALSE
D. y=-4x+2 => slope=-4 <0  (true); y-intercept=2>0 (true); x-intercept=+1/2>0 (true) => TRUE