Math Problem Statement

Graph the following linear equation. y equals 7 x plus 2

Solution

Here is the graph of the linear equation y=7x+2y = 7x + 2, showing the line passing through the points (0,2)(0, 2) and (1,9)(1, 9). The steep slope of 7 is evident.

Would you like to go over any details or have further questions about this graph? Here are some related questions you might find interesting:

  1. How do you interpret the slope and y-intercept of a linear equation?
  2. How can you find the slope between two points on a graph?
  3. What is the significance of the y-intercept in real-world applications?
  4. How would the graph change if the slope were negative instead of positive?
  5. How do you graph a linear equation when it's not in slope-intercept form?

Tip: When graphing a linear equation, always start by plotting the y-intercept, then use the slope to determine additional points on the line.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing Linear Equations

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9