Math Problem Statement
Graph the equation y = -2x + 3.
Solution
The equation visible in your image is:
This is the equation of a straight line in slope-intercept form , where:
- (the slope) is ,
- (the y-intercept) is .
Key characteristics of this line:
- The slope indicates the line is decreasing: for every 1 unit increase in , the value of decreases by 2 units.
- The y-intercept is the point where the line crosses the y-axis, which is at .
If you'd like, I can help you graph it step by step or explain further.
Would you like more details or explanations about this? Here are some related questions you might find helpful:
- How do you find the x-intercept of the line?
- How does changing the slope or y-intercept affect the graph?
- What is the significance of the slope being negative?
- Can you explain how to find another point on the line besides the intercepts?
- How do parallel and perpendicular lines relate to this equation?
Tip: When graphing, always plot the y-intercept first, then use the slope to determine the direction and steepness of the line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
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Suitable Grade Level
Grades 7-9