Math Problem Statement
What is the slope of the line with the equation y = 2x + 8?
Solution
The given equation is in slope-intercept form:
In the slope-intercept form , the slope is represented by and the y-intercept is represented by .
From the equation :
- The slope .
- The y-intercept , meaning the line crosses the y-axis at .
Thus, the slope of the line is 2.
Now, to answer the question:
- The correct answer is A. The slope is 2.
Would you like more details or have any questions?
Here are 5 related questions:
- How do you determine the slope of a line from an equation?
- What is the significance of the y-intercept in the graph of a line?
- How would you graph the equation step by step?
- What happens to the slope if the equation changes to ?
- Can a slope ever be undefined, and what does it mean?
Tip: In slope-intercept form, always look at the coefficient of for the slope and the constant for the y-intercept!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
-
Suitable Grade Level
Grades 6-8