Math Problem Statement

A is the line with equation y

7 x + 1 y=7x+1 Write down the gradient and the y-intercept of A A

Solution

The equation of the line y=7x+1y = 7x + 1 is in the slope-intercept form y=mx+cy = mx + c, where:

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

From the equation:

  • The gradient m=7m = 7,
  • The y-intercept c=1c = 1.

So, the gradient of the line AA is 7, and the y-intercept is 1.

Do you have any questions, or would you like more details?

Here are 5 related questions to expand on this topic:

  1. How would you find the gradient if the equation was not in slope-intercept form?
  2. What is the significance of the gradient in the context of a graph?
  3. How would the graph of this line change if the gradient were negative?
  4. Can you find the x-intercept of this line?
  5. How would you write the equation of a line parallel to AA?

Tip: The gradient determines the steepness of the line, while the y-intercept shows where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-Intercept Form: y = mx + c

Theorems

Linear Equation Properties

Suitable Grade Level

Grades 6-8