Math Problem Statement

Graph.

y = 

5

8

x − 1

Solution

Here is the graph of the equation y=58x1y = \frac{5}{8}x - 1. 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 58\frac{5}{8} is less than 1. The line crosses the y-axis at y=1y = -1, which is the y-intercept.

Would you like further explanation on how this graph was created? Here are five related questions:

  1. How does the slope 58\frac{5}{8} affect the graph compared to a slope of 1?
  2. What would happen if the y-intercept was +1+1 instead of 1-1?
  3. How can we graph other linear equations with fractions in their slope?
  4. How do we interpret the slope in real-world scenarios?
  5. 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