Math Problem Statement
Match the equations (A: y = -2x - 4, Б: y = 2x - 4, B: y = -2x + 4) with their corresponding graphs (1, 2, and 3).
Solution
To match the equations with the graphs, we need to look at the slope and the y-intercept of each.
-
Equation A:
- Slope: -2
- Y-intercept: -4
-
Equation Б:
- Slope: 2
- Y-intercept: -4
-
Equation B:
- Slope: -2
- Y-intercept: 4
Now, for each graph:
-
Graph 1:
- Negative slope
- Y-intercept is negative (below x-axis)
- Matches with A:
-
Graph 2:
- Negative slope
- Y-intercept is positive (above x-axis)
- Matches with B:
-
Graph 3:
- Positive slope
- Y-intercept is negative (below x-axis)
- Matches with Б:
The correct matches are:
- A
- B
- Б
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope-intercept form: y = mx + b
Theorems
Properties of slopes and y-intercepts in linear equations
Suitable Grade Level
Grades 7-9
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