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MA.912.AR.2.3 · Linear Relationships

Equations of Parallel and Perpendicular Lines: Sample Algebra 1 EOC Questions

Parallel lines share a slope and perpendicular lines have slopes that are opposite reciprocals. Students write the equation of a line through a given point that is parallel or perpendicular to a line given as an equation, a graph, or two points.

How the Algebra 1 EOC tests this benchmark

Vertical and horizontal lines appear on the EOC, and they are the ones students miss: the perpendicular of a horizontal line is vertical, with an undefined slope and an equation of the form x = a. Some items ask only for the slope rather than the whole equation. Graphic response items ask students to draw the line.

Skills students need

  • Use equal slopes for parallel lines
  • Use opposite reciprocal slopes for perpendicular lines
  • Write the equation through a given point
  • Handle vertical and horizontal special cases

Try 6 real MA.912.AR.2.3 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
Which equation represents the line that is parallel to y=12x+1y = \dfrac{1}{2}x + 1 and passes through the point (4,5)(4, 5)?

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MA.912.AR.2.3: Parallel and Perpendicular Practice | Algebro