Math Problem Statement
Graph.
y =
5
8
x − 1
Solution
Here is the graph of the equation . The line has a positive slope, meaning it rises as you move from left to right, but it's not very steep because the slope is less than 1. The line crosses the y-axis at , which is the y-intercept.
Would you like further explanation on how this graph was created? Here are five related questions:
- How does the slope affect the graph compared to a slope of 1?
- What would happen if the y-intercept was instead of ?
- How can we graph other linear equations with fractions in their slope?
- How do we interpret the slope in real-world scenarios?
- What is the significance of x-intercepts?
Tip: A fractional slope means the line rises slowly
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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 8-10