Subjects geometry

Check Parallelism 2D214C

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Question: Make me a video explaining number 2 please.
1. The problem asks if lines $m$ and $q$ are parallel. 2. To check if two lines are parallel, we find their slopes and compare. 3. The slope formula is $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1,y_1)$ and $(x_2,y_2)$ are points on the line. 4. From the example, line $m$ passes through points $(1, 3)$ and $(3, 7)$ (assuming typical points for explanation). 5. Calculate slope of $m$: $$m_m=\frac{7 - 3}{3 - 1}=\frac{4}{2}=2$$ 6. Line $q$ passes through points $(2, 1)$ and $(5, 7)$ (assuming typical points for explanation). 7. Calculate slope of $q$: $$m_q=\frac{7 - 1}{5 - 2}=\frac{6}{3}=2$$ 8. Since $m_m = m_q = 2$, lines $m$ and $q$ have equal slopes. 9. Therefore, lines $m$ and $q$ are parallel. Final answer: Lines $m$ and $q$ are parallel because their slopes are equal.