Math Problem Statement
Solution
Based on the graph in the image, here are the steps to answer the questions:
(a) x-intercept
The x-intercept is where the graph crosses the x-axis, meaning the value of y is 0. From the graph, the line crosses the x-axis at . Therefore, the x-intercept is:
(b) y-intercept
The y-intercept is where the graph crosses the y-axis, meaning the value of x is 0. From the graph, the line crosses the y-axis at . Therefore, the y-intercept is:
Let me know if you'd like further clarification or if you have any additional questions!
Here are 5 related questions that could expand on this topic:
- How do you calculate the slope of a line from its graph?
- What is the formula of a line if we know the slope and intercepts?
- How do you identify intercepts on graphs of different types of functions?
- What is the significance of intercepts in real-world applications like business or science?
- How do you graph a line if you are given the slope and one intercept?
Tip: To find intercepts from an equation, set for the y-intercept and for the x-intercept.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Intercepts
Graphing
Formulas
x-intercept: y = 0
y-intercept: x = 0
Theorems
Intercept theorem
Suitable Grade Level
Grades 7-9