Math Problem Statement

Identify the values representing the gradient and the y-intercept from the equation y = 2x - 5.

Solution

The question asks to identify the gradient (slope) and the y-intercept from the equation y=2x5y = 2x - 5.

This equation is in the slope-intercept form of a line, which is generally written as:

y=mx+cy = mx + c

where:

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

From the equation y=2x5y = 2x - 5:

  • The gradient mm is 22.
  • The y-intercept cc is 5-5.

Would you like further details on how these values were identified, or do you have any other questions?

Here are 5 related questions to expand on this:

  1. How do you graph the line y=2x5y = 2x - 5 using the gradient and y-intercept?
  2. What does the gradient of a line tell you about its slope?
  3. How would you find the x-intercept of the equation y=2x5y = 2x - 5?
  4. What happens to the line if the gradient is increased or decreased?
  5. Can you rewrite y=2x5y = 2x - 5 in another form, such as point-slope form?

Tip: In the slope-intercept form y=mx+cy = mx + c, the value of mm directly affects the steepness of the line.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + c (Slope-Intercept form)

Theorems

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Suitable Grade Level

Grades 7-9