Math Problem Statement
What is the equation of the line: y = 4x - 3?
Solution
The image shows the equation , which represents a linear equation in slope-intercept form, where:
- is the dependent variable.
- is the independent variable.
- 4 is the slope of the line, indicating that for every unit increase in , increases by 4.
- is the y-intercept, which is the point where the line crosses the y-axis.
Do you want details on how to graph this or any questions regarding this?
Here are 5 related questions to explore this topic further:
- What is the slope of a line, and how do we calculate it from an equation?
- How do you find the x-intercept of the equation ?
- Can you convert this equation into standard form?
- How do you determine if two lines are parallel or perpendicular by comparing their slopes?
- What happens to the graph if you change the slope from 4 to another value, say 2?
Tip: To graph linear equations quickly, use the slope and y-intercept as your key starting points.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope of a Line
Intercept Theorem
Suitable Grade Level
Grades 7-9