Question

Which system of equations is represented by the graph?

rational graph with asymptotes of x equals negative 2 and y equals 1. Linear graph intersects it at negative 1, negative 5 and 4, 0.

a y = x plus 4, over x plus 2
y = x + 4

b y = x plus 4, over x plus 2
y = x − 4

c y = x minus 4, over x plus 2
y = x + 4

d y = x minus 4, over x plus 2
y = x − 4

Answer 1

d x=-2

2x+y=-3

Explanation:

Answer 2

The red line has a y-intercept of -4, so the linear equations of choices A and C can be eliminated.

The numerator of the rational expression of choice B will not be zero when x=4, so that choice can be eliminated. (That is, check to see if the point (4, 0) satisfies the equation. It does not.)

The problem requirements are met by the last choice:

d y = x minus 4, over x plus 2

y = x − 4