Math Problem Statement

Match the equations (A: y = -2x - 4, Б: y = 2x - 4, B: y = -2x + 4) with their corresponding graphs (1, 2, and 3).

Solution

To match the equations with the graphs, we need to look at the slope and the y-intercept of each.

  1. Equation A: y=2x4y = -2x - 4

    • Slope: -2
    • Y-intercept: -4
  2. Equation Б: y=2x4y = 2x - 4

    • Slope: 2
    • Y-intercept: -4
  3. Equation B: y=2x+4y = -2x + 4

    • Slope: -2
    • Y-intercept: 4

Now, for each graph:

  1. Graph 1:

    • Negative slope
    • Y-intercept is negative (below x-axis)
    • Matches with A: y=2x4y = -2x - 4
  2. Graph 2:

    • Negative slope
    • Y-intercept is positive (above x-axis)
    • Matches with B: y=2x+4y = -2x + 4
  3. Graph 3:

    • Positive slope
    • Y-intercept is negative (below x-axis)
    • Matches with Б: y=2x4y = 2x - 4

The correct matches are:

  1. A
  2. B
  3. Б

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

Slope-intercept form: y = mx + b

Theorems

Properties of slopes and y-intercepts in linear equations

Suitable Grade Level

Grades 7-9