Question

1. what is the answer when you graph 2 equations and they graph to be the same line?
2. when you look at 2 equations and they have the same slope, but different y-intercepts... what is the answer?

Explanation:

Question 13

Step1: Recall linear system types

For two linear equations, if their graphs are the same line, they are dependent (infinitely many solutions).

Step2: Confirm the case

Same line means equations are equivalent, so infinitely many solutions.

Step1: Recall slope - intercept form

Linear equations in \(y = mx + b\) form: same \(m\) (slope), different \(b\) (y - intercept) means parallel lines.

Step2: Determine solution existence

Parallel lines never intersect, so no solution (inconsistent system).

Answer:

Infinitely many solutions (or "dependent system" with infinitely many solutions)

Question 15