16Hit1600
AlgebraVery hardSlope that makes a system inconsistent

Algebra practice question

For what value of the constant k does the system y = kx + 1 and y = 3x − 2 have NO solution?

Answer: 3

Two lines have no common point only when they are parallel and distinct. Parallel means equal slopes: k = 3. The intercepts (1 and −2) differ, so the lines never meet.

Common wrong answers

If you answered 1
1 is the y-intercept of the first line, not its slope.
If you answered -3
−3 gives slopes 3 and −3 — the lines cross once.
If you answered -2
−2 is the y-intercept of the second line.

More Algebra questions

Not affiliated with the College Board. SAT is a trademark of the College Board.