Math Problem Statement
Find the equation of a line given the slope m = 9 and the y-intercept b = 2.
Solution
The image shows a problem that provides values for the slope () and the y-intercept () of a linear equation.
The equation of a line in slope-intercept form is:
From the image:
- (slope)
- (y-intercept)
Thus, the equation of the line would be:
Would you like more details on this, or do you have any specific questions?
Here are 5 related questions to deepen your understanding:
- What is the slope-intercept form of a line, and how is it derived?
- How do we interpret the slope and y-intercept in real-world scenarios?
- How can we convert this equation into standard form?
- What is the graph of this equation, and how would it look?
- How can we find the x-intercept of this line?
Tip: The slope tells you how steep the line is, and the y-intercept tells you where the line crosses the y-axis!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9