Math Problem Statement
Identify the the slope and Y-intercept on the of the line y=2x+17y=2x+17
Solution
The given equation of the line is:
This is in the slope-intercept form of a linear equation, which is generally written as:
where:
- is the slope of the line,
- is the y-intercept.
For the equation , we can identify the following:
- Slope (m) = 2
- Y-intercept (b) = 17
This means the slope of the line is 2, and the line crosses the y-axis at .
Would you like more details on how to interpret this, or have any other questions related to linear equations?
Here are five questions that expand on the concept:
- How do you graph the line ?
- What happens to the slope if the equation changes to ?
- How can you write an equation of a line given the slope and y-intercept?
- How do you determine the slope when given two points on the line?
- What is the significance of the slope and y-intercept in real-life applications?
Tip: The slope represents the steepness of the line, and the y-intercept tells you where the line crosses the y-axis, which is particularly useful for graphing linear equations.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9