Math Problem Statement
Solution
To find the intercepts from the graph:
(a) x-intercept:
The x-intercept is the point where the line crosses the x-axis (y = 0). From the graph, the line crosses the x-axis at (-2, 0). Therefore, the x-intercept is:
x = -2
(b) y-intercept:
The y-intercept is the point where the line crosses the y-axis (x = 0). From the graph, the line crosses the y-axis at (0, 3). Therefore, the y-intercept is:
y = 3
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Related Questions:
- How do you calculate intercepts algebraically if the equation of a line is given?
- Can a line have no x-intercept or y-intercept? In what cases?
- What is the slope of the line in this graph, and how is it related to the intercepts?
- How do intercepts help in graphing a line efficiently?
- How would you verify intercepts using the slope-intercept form of the equation?
Tip: Always identify the x- and y-intercepts carefully from the graph as they can provide direct information about the equation of the line!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Intercepts
Formulas
To find the x-intercept: Set y = 0 and solve for x
To find the y-intercept: Set x = 0 and solve for y
Theorems
Definition of intercepts in a Cartesian plane
Suitable Grade Level
Grades 6-8