Question

Line A is represented by the following equation: x + y = 2

What is most likely the equation for line B so the set of equations has no solution? (4 points)

Group of answer choices

x + 2y = 2

2x + 2y = 4

2x + y = 2

x + y = 4

Answer 1

x + y=4

Explanation:

it just is

Answer 2

x+y=4

Explanation:

No solution means that the lines will never intersect. We know that the slope of line A is -1, and it's y intercept is 2. If you look at the last option for the answer choices, it's slope is also -1, but it's y intercept is at 4. These lines have the same slope, also known as parallel, so they will never intersect, thus giving no solution