Math Problem Statement

y = 5x Graph the linear equation in two variables. y = 5x

Solution

To graph the linear equation y=5xy = 5x, follow these steps:

Step 1: Identify the Key Components

  • Slope (mm): The coefficient of xx is 5, meaning the line rises 5 units for every 1 unit it moves to the right.
  • Y-intercept (bb): Since there is no constant term, the y-intercept is 00, meaning the line passes through the origin (0,0).

Step 2: Choose Key Points

Select a few values of xx and compute yy:

  • x=2x = -2, then y=5(2)=10y = 5(-2) = -10 → (-2, -10)
  • x=1x = -1, then y=5(1)=5y = 5(-1) = -5 → (-1, -5)
  • x=0x = 0, then y=5(0)=0y = 5(0) = 0 → (0, 0) (y-intercept)
  • x=1x = 1, then y=5(1)=5y = 5(1) = 5 → (1, 5)
  • x=2x = 2, then y=5(2)=10y = 5(2) = 10 → (2, 10)

Step 3: Plot the Points

Plot these points on a coordinate plane.

Step 4: Draw the Line

Connect the points with a straight line extending in both directions.

Would you like me to generate a graph for you? Let me know if you need more details!


Related Questions

  1. How do you find the slope of a line from an equation?
  2. What does the graph of y=5xy = 5x look like compared to y=5xy = -5x?
  3. How do you determine if a given point is on the line y=5xy = 5x?
  4. What happens to the graph if the equation changes to y=5x+3y = 5x + 3?
  5. How do you graph a linear equation using intercepts?

Tip: The slope mm determines the steepness of the line; a larger absolute value means a steeper line!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8