Math Problem Statement
Solution
The slope-intercept form of a line is written as:
where:
- is the slope of the line.
- is the -intercept (the point where the line crosses the -axis).
To write the equation of a line given its slope and -intercept:
- Substitute the slope into the position.
- Substitute the -intercept into the position.
The completed sentence in the image would be:
"Substitute the slope for and the -intercept for in the slope-intercept form."
Would you like more details or have any questions about this process?
Here are five related questions that expand on this concept:
- How do you determine the slope from two points on a line?
- What does the slope represent in a real-world context?
- How can you find the -intercept if you have a point and the slope?
- How do you convert a linear equation from standard form to slope-intercept form?
- What is the significance of the sign of the slope in a linear equation?
Tip: To quickly identify the slope and -intercept of a line, rearrange the equation into the form . The coefficient of will be the slope, and the constant term will be the -intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
-
Suitable Grade Level
Grades 7-9
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