Math Problem Statement

graph the line y=-4x+5

Solution

Here is the graph of the line y=4x+5y = -4x + 5. The slope of the line is -4, which means it decreases by 4 units in the yy-direction for every 1 unit increase in the xx-direction. The line crosses the yy-axis at y=5y = 5.

Do you want more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How do you find the slope and y-intercept of a line from its equation?
  2. How would the graph change if the slope were positive?
  3. What happens to the graph if the y-intercept is changed?
  4. How can you find the point where this line crosses the x-axis?
  5. What is the general form of a linear equation?

Tip: The slope of a line determines its steepness and direction—positive slopes go upward, and negative slopes go downward.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-intercept form theorem

Suitable Grade Level

Grades 6-8