Question

1. Where will the line y = -1/2 -3 cross the y-axis?

2. Describe the solution to a system of equations if the answer is two parallel lines( consistent, inconsistent, or dependent).
THEY'RE BOTH SHORT ANSWERS.

Answer 1

1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)

2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.