Math Problem Statement
Find the y-intercept and the slope of the line. y = -5x - 2
Solution
The equation given is:
This is in the slope-intercept form, , where:
- is the slope of the line.
- is the y-intercept.
From this equation:
- The slope () is .
- The y-intercept () is .
Thus:
- y-intercept:
- slope:
Would you like further details on this solution or have any questions?
Here are some additional related questions to explore:
- How do you find the slope from two points?
- What is the significance of the y-intercept in a real-world context?
- How would the line change if the slope were positive?
- What does a slope of zero indicate about the line?
- How can we determine the x-intercept from this equation?
Tip: Remember, in the slope-intercept form , represents how steep the line is, and indicates where the line crosses the y-axis.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Theorems
-
Suitable Grade Level
Grades 8-10