Math Problem Statement

The equation of a straight line is y = 5x—4. What is the gradient of the line?

Solution

The equation of the straight line is given in the form y=5x4y = 5x - 4, which is the slope-intercept form y=mx+cy = mx + c, where:

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

In your equation, m=5m = 5. Therefore, the gradient of the line is 5.

Would you like further details or explanations?

Here are 5 related questions to consider:

  1. How do you find the gradient of a line if it's not in slope-intercept form?
  2. What does the gradient of a line represent graphically?
  3. How do you determine the y-intercept from an equation like this?
  4. What would happen to the gradient if the line were steeper or flatter?
  5. How do you find the equation of a line given two points?

Tip: The gradient represents how steep the line is; a larger gradient means a steeper slope.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-Intercept Form: y = mx + c

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9