Math Problem Statement
. (Type an integer or a decimal.)
Find the slope, if it exists, of the line.
y = 2.96x - 3
Solution
The equation given is:
This is a linear equation in slope-intercept form, which is:
Where:
- is the slope of the line,
- is the y-intercept.
In this case, the slope is the coefficient of , which is 2.96.
So, the slope of the line is 2.96.
Would you like any further details or explanations?
Here are five related questions to deepen your understanding:
- How do you find the slope of a line if given two points?
- What is the y-intercept of the given line equation?
- How would you graph the line ?
- Can the slope of a vertical line be determined?
- How does the slope affect the steepness of a line?
Tip: In the slope-intercept form , the slope controls the direction and steepness of the line, while determines where it crosses the y-axis.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form y = mx + b
Theorems
Slope of a line theorem
Suitable Grade Level
Grades 7-10