Math Problem Statement

y=-7x-3

Solution

The equation you provided is in slope-intercept form: y=mx+by = mx + b, where:

  • mm is the slope of the line, and
  • bb is the y-intercept (the point where the line crosses the y-axis).

In your equation, y=7x3y = -7x - 3:

  • The slope m=7m = -7, meaning the line decreases (falls) 7 units for every 1 unit increase in xx.
  • The y-intercept b=3b = -3, meaning the line crosses the y-axis at (0,3)(0, -3).

Would you like to graph the equation or need further details?

Here are five questions related to the equation:

  1. What is the x-intercept of the equation y=7x3y = -7x - 3?
  2. How would the graph change if the slope were positive?
  3. How can you determine if two lines are parallel or perpendicular?
  4. How do you solve for xx if y=0y = 0 in this equation?
  5. What would happen to the graph if the constant (-3) were changed?

Tip: The slope of a line indicates the steepness and direction of the line—negative slopes result in a downward trend.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing Lines

Formulas

y = mx + b (Slope-Intercept Form)
Slope = (change in y) / (change in x)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10