Question

Which system of equations is represented by the graph? rational graph with asymptotes of x equals 4 and y equals negative 1. Linear graph intersects it at negative 2, negative 2 and 5, 5 y = negative x minus 10, over x minus 4 y = x y = x plus 10, over x minus 4 y = −x y = negative x plus ten divided by the quantity x minus four , y = x y = negative x plus ten divided by the quantity x minus four , y = −x

Answer 1

The points of intersection are (-2, -2) and (5, 5), so clearly y = x. This reduces the choices to the first and third ones.

Since x-4 is the denominator of all choices, its value at the point (5, 5) will be 1. Hence you need to find the choice that has a numerator of 5 when x=5.

The first choice has a numerator of -5-10 = -15, so that's not it.

The third choice has a numerator of -5+10 = 5, so that's the one you're looking for.

The best choice is the third one, ...

... y = negative x plus ten divided by the quantity x minus four , y = x