Math Problem Statement
Identify the slope, m, and y-intercept, b, of the equation y = -3x + 5.
Solution
The equation provided is , which is in the slope-intercept form . Here:
- is the slope of the line.
- is the y-intercept, which is the point where the line crosses the y-axis.
From the equation:
- The slope is .
- The y-intercept is .
Would you like to go over graphing this equation or explore any further questions? Here are some related questions:
- What is the significance of the slope in the context of a graph?
- How would you calculate the x-intercept of the line?
- How does changing the y-intercept affect the graph of the line?
- Can you explain what a positive slope would look like on a graph compared to a negative slope?
- How can you find the slope between two points on a line?
Tip: When graphing, always start by plotting 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
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 6-8