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Slopes of Parallel & Perpendicular Lines — Easy Worksheet 1
Grade 10 · MathSheets Name: ____________________ Date: __________
Write slopes as integers or fractions in simplest form. Write equations in slope-intercept form, y = mx + b.
How to solve
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Example
Line ℓ passes through A(-1, -2) and B(0, 1). Find the slope of a line perpendicular to ℓ.
Answer: -13
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(1, 3) and B(2, -1). Find the slope of a line perpendicular to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(-5, 3) and B(-4, 7). Find the slope of a line parallel to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(-3, -1) and B(0, -6). Find the slope of a line parallel to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(-3, -4) and B(0, 1). Find the slope of a line perpendicular to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(1, -2) and B(4, -3). Find the slope of a line perpendicular to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(-4, -4) and B(-3, -2). Find the slope of a line parallel to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(-3, -1) and B(0, -3). Find the slope of a line perpendicular to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Slopes of Parallel & Perpendicular Lines
Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals (their product is -1), so a slope of 23 becomes -32. To write an equation, use the new slope m and the given point in y = mx + b, solve for b, then write y = mx + b.
Try a similar one
Line ℓ passes through A(2, -1) and B(3, 0). Find the slope of a line parallel to ℓ.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Slopes of Parallel & Perpendicular Lines — Easy Worksheet 1
Write slopes as integers or fractions in simplest form. Write equations in slope-intercept form, y = mx + b.