๐ Quick Study Guide
๐ The x-intercept is the point where a line or curve crosses the x-axis on a graph.
๐ At the x-intercept, the y-coordinate is always zero.
โ To find the x-intercept, set $y = 0$ in the equation and solve for $x$.
๐ The x-intercept is written as a coordinate point: $(x, 0)$.
๐ก Multiple x-intercepts can exist for curves (like parabolas or circles), while a line usually has one.
๐งช Practice Quiz
Question 1: What is the defining characteristic of the x-intercept?
A) The point where the line crosses the y-axis.
B) The point where $y = 0$.
C) The point where $x = 0$.
D) The origin of the graph.
Question 2: How do you find the x-intercept of an equation?
A) Set $x = 0$ and solve for $y$.
B) Set $y = 0$ and solve for $x$.
C) Find the slope of the line.
D) Graph the equation and visually identify the intercept.
Question 3: What are the coordinates of the x-intercept?
A) (0, y)
B) (x, y)
C) (x, 0)
D) (0, 0)
Question 4: How many x-intercepts does the equation of a straight line typically have?
A) None
B) Infinite
C) One
D) Two
Question 5: What is the x-intercept of the line $y = 2x - 6$?
A) (0, -6)
B) (3, 0)
C) (-3, 0)
D) (0, 3)
Question 6: Which of the following points is an x-intercept?
A) (2, 2)
B) (0, 5)
C) (7, 0)
D) (3, 1)
Question 7: A parabola has the equation $y = x^2 - 4$. What are its x-intercepts?
A) (0, -4)
B) (2, 0) and (-2, 0)
C) (4, 0)
D) No x-intercepts
Click to see Answers
- B
- B
- C
- C
- B
- C
- B