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 is in the slope-intercept form , where:
- represents the gradient (or slope),
- represents the y-intercept.
From the equation:
- The gradient ,
- The y-intercept .
So, the gradient of the line 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:
- How would you find the gradient if the equation was not in slope-intercept form?
- What is the significance of the gradient in the context of a graph?
- How would the graph of this line change if the gradient were negative?
- Can you find the x-intercept of this line?
- How would you write the equation of a line parallel to ?
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