Math Problem Statement
In the following exercises, find the x- and y-intercepts on each graph.
Solution
In the provided graphs, we need to find the x- and y-intercepts. The x-intercept is where the line crosses the x-axis (i.e., where ), and the y-intercept is where the line crosses the y-axis (i.e., where ).
Problem 33:
- X-intercept: The line crosses the x-axis at .
- Y-intercept: The line crosses the y-axis at .
Problem 34:
- X-intercept: The line crosses the x-axis at .
- Y-intercept: The line crosses the y-axis at .
Problem 35:
- X-intercept: The line crosses the x-axis at .
- Y-intercept: The line crosses the y-axis at .
Problem 36:
- X-intercept: The line crosses the x-axis at .
- Y-intercept: The line crosses the y-axis at .
Would you like a further breakdown or have additional questions?
Here are five relative questions to expand the topic:
- How do we find the equation of the line from the intercepts?
- Can you explain how the slope relates to the intercepts in these graphs?
- What is the slope of the line in each graph?
- How would the intercepts change if we adjusted the slope of the line?
- How do we interpret these intercepts in real-world contexts?
Tip: The formula for a line is often expressed as , where is the slope and is the y-intercept.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Intercepts
Formulas
y = mx + b
x-intercept (y = 0)
y-intercept (x = 0)
Theorems
Linear Equation Theorem
Suitable Grade Level
Grades 8-10