Math Problem Statement

Graph the equation. y=4x+3

Solution

import numpy as np import matplotlib.pyplot as plt

Define the equation y = 4x + 3

x = np.linspace(-10, 10, 400) # x values range y = 4 * x + 3 # calculate y values

Plot the equation

plt.figure(figsize=(8, 6)) plt.plot(x, y, label="y = 4x + 3", linewidth=2) plt.axhline(0, color='black', linewidth=0.8) # x-axis plt.axvline(0, color='black', linewidth=0.8) # y-axis plt.title("Graph of y = 4x + 3") plt.xlabel("x") plt.ylabel("y") plt.grid(True, linestyle='--', alpha=0.7) plt.legend() plt.show() <<ImageDisplayed>>successHere is the graph of the equation y=4x+3y = 4x + 3. Let me know if you need further analysis or additional details.

Follow-Up Questions:

  1. Would you like to know how to find the slope and y-intercept from this equation?
  2. Do you need help plotting a similar linear equation?
  3. Would you like to calculate specific points on this line for given x-values?
  4. Are you interested in comparing this graph to another linear equation?
  5. Would you like an explanation of what the slope and intercept represent graphically?

Tip: The slope (mm) determines the steepness of the line, and the y-intercept (bb) shows where the line crosses the y-axis.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing in Coordinate Geometry

Formulas

Slope-intercept form y = mx + b

Theorems

Linear equation properties

Suitable Grade Level

Grades 6-8