Math Problem Statement

Work out the equation for each graph in the form y = mx + c.

Solution

The task requires finding the equation of each line in the form y=mx+cy = mx + c, where:

  • mm is the slope (gradient),
  • cc is the y-intercept.

Let me analyze each graph and determine the equations.

Would you like me to break down the process step by step for you? Also, here are five related questions to expand your understanding:

  1. How do you determine the gradient (mm) from a graph?
  2. What does the y-intercept (cc) represent in a linear equation?
  3. How do you find the equation of a line given two points?
  4. What happens to the graph if you increase or decrease the slope?
  5. How do parallel and perpendicular lines relate to each other in terms of their equations?

Tip: The gradient (mm) is calculated as rise over run, meaning how much the line moves up or down for each step to the right.

Let me know if you'd like detailed solutions! 😊

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing
Coordinate Geometry

Formulas

y = mx + c, where m is the gradient and c is the y-intercept

Theorems

Slope-Intercept Formula
Properties of Straight Lines

Suitable Grade Level

Grades 7-9