Math Problem Statement
Find the x- and y-intercepts on the given graph.
Solution
To determine the - and -intercepts from the graph:
-
-intercept: This is the point where the line crosses the -axis. From the graph, the line crosses the -axis at . So, the -intercept is .
-
-intercept: This is the point where the line crosses the -axis. From the graph, the line crosses the -axis at . So, the -intercept is .
Summary:
- -intercept:
- -intercept:
Would you like further details or have any questions?
Here are 5 related questions:
- How can you find the slope of the line from the graph?
- What is the equation of this line in slope-intercept form?
- What happens to the intercepts if the line is shifted upward?
- Can a vertical line have an -intercept and -intercept?
- How would the graph look if the slope was positive?
Tip: To find the -intercept in a linear equation, set , and for the -intercept, set .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Intercepts
Formulas
y = mx + b (Slope-intercept form of a linear equation)
For x-intercept, set y = 0
For y-intercept, set x = 0
Theorems
Intercept theorem for linear equations
Suitable Grade Level
Grades 6-9