Math Problem Statement
Find the slope of the line y = 2x + 7
.
Solution
The equation of the line is given in the slope-intercept form:
where:
- is the slope of the line, and
- is the y-intercept.
In the equation , the coefficient of is 2. This means the slope is 2.
So, the slope of the line is 2.
Would you like further details or have any questions?
Here are 5 related questions you might find helpful:
- How do you find the y-intercept of the line ?
- What is the slope of a line parallel to ?
- What is the slope of a line perpendicular to ?
- How do you find the equation of a line with a slope of 2 that passes through the point (3, 4)?
- How would the graph of the line look?
Tip: The slope tells you how steep the line is. A positive slope means the line rises as you move from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form y = mx + b
Theorems
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Suitable Grade Level
Grades 6-8