Math Problem Statement

Graph the following line using the slope and the y-intercept. Your final graph should contain a line and a dot.

y = x-1

Solution

Here's the graph of the line y=x1y = x - 1, which includes the line itself and a red dot at the y-intercept (0,1)(0, -1). Would you like further details on how the slope and y-intercept were applied here?

  1. How can we identify the slope from a linear equation?
  2. What is the significance of the y-intercept in a graph?
  3. How would the line change if we altered the slope?
  4. What happens if we change the y-intercept in this equation?
  5. Can we graph this line using another method?

Tip: For any line in the form y=mx+by = mx + b, mm represents the slope, and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing Lines
Slope and Y-Intercept

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8