Slope and linear equations flashcards

Question 1

What does the slope of a line represent?

Accepted Answer

Slope is the rate of change: how much $y$ changes for each 1-unit increase in $x$ (rise over run).

Question 2

Find the slope and $y$-intercept of $y=-3x+7$.

Accepted Answer

Slope $m=-3$ and $y$-intercept $b=7$ (intercept point is $(0,7)$).

Question 3

What are the slope relationships for parallel and perpendicular lines?

Accepted Answer

Parallel lines have equal slopes: $m_1=m_2$. Perpendicular lines have negative reciprocal slopes: $m_1\cdot m_2=-1$ (for non-vertical/non-horizontal); horizontal is perpendicular to vertical.

Slope and linear equations flashcards

Master Math with AI

Learning Resources

Trusted & Recognized