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 .
This equation is in the slope-intercept form of a line, which is generally written as:
where:
- is the gradient (slope),
- is the y-intercept.
From the equation :
- The gradient is .
- The y-intercept is .
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:
- How do you graph the line using the gradient and y-intercept?
- What does the gradient of a line tell you about its slope?
- How would you find the x-intercept of the equation ?
- What happens to the line if the gradient is increased or decreased?
- Can you rewrite in another form, such as point-slope form?
Tip: In the slope-intercept form , the value of 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