Practice Point-slope Form (5.2) - Linear Functions - IB 10 Mathematics – Group 5, Algebra
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Point-slope form

Practice - Point-slope form

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Practice Questions

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Question 1 Easy

Write the point-slope form for a line that has a slope of 2 and passes through the point (3, 4).

💡 Hint: Use the formula y - y₁ = m(x - x₁).

Question 2 Easy

If a line has a slope of 5 and passes through (1, 2), what is the point-slope form?

💡 Hint: Insert the values into y - y₁ = m(x - x₁).

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the point-slope form equation of a line with a slope of 3 that passes through point (1, -2)?

y + 2 = 3(x - 1)
y - 2 = 3(x + 1)
y - 3 = 3(x + 2)

💡 Hint: Be mindful of the signs when substituting values.

Question 2

True or False: In the point-slope form, the slope 'm' can be positive or negative.

True
False

💡 Hint: Think about how different slopes affect the direction of the line.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have a line with a slope of -4 that passes through (6, 7). Create its point-slope form and rewrite it in slope-intercept form.

💡 Hint: Focus on both forms; distribute after setting the equation up.

Challenge 2 Hard

Create a point-slope equation for a line that passes through (-3, 10) with a slope of 2. Then, graph the equation.

💡 Hint: Keep slope and initial point in your mind when drawing the graph.

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