Math Problem Statement

\displaylinesDraw graph of 2x3\placeholder{\displaylines\text{Draw graph of }2x-3\\ \placeholder{}}

Solution

To graph the linear equation 2x32x - 3, it's helpful to follow these steps:

  1. Identify the equation type: This is a linear equation in terms of xx. It represents a straight line, and it has the form y=2x3y = 2x - 3, where m=2m = 2 is the slope, and b=3b = -3 is the y-intercept.

  2. Plot the y-intercept: Start by plotting the point where the line crosses the y-axis. This is the y-intercept, which is (0,3)(0, -3).

  3. Use the slope to find another point: The slope is 2, which means for every 1 unit you move to the right along the x-axis, you move 2 units up on the y-axis. From the point (0,3)(0, -3), move 1 unit to the right to x=1x = 1, and then move up 2 units. This gives the point (1,1)(1, -1).

  4. Draw the line: Connect these two points with a straight line, and extend it in both directions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

y = mx + b

Theorems

Slope-intercept form

Suitable Grade Level

Grades 7-9