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Practice Questions
Test your understanding with targeted questions related to the topic.
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).
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
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.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation