Math Problem Statement
Find the slope and the y-intercept of the line y=-2_5x+1 what's the slope and the y- intercept
Solution
The given equation is . It appears that the underscore between the "2" and "5" might be a typo. If you're asking about the line , here's how to find the slope and the y-intercept:
1. Slope:
The slope of a line in the form is the coefficient of , which is .
In this case, .
So, the slope is .
2. Y-intercept:
The y-intercept is the constant term, , which is the value of when .
Here, .
So, the y-intercept is 1 (or the point ).
Would you like further details on how to graph this or any other clarifications?
Here are 5 questions to consider:
- What is the effect of changing the slope on the line?
- How does a positive slope compare to a negative slope?
- What happens if the y-intercept is negative?
- How can you rewrite this equation in standard form?
- Can you calculate the slope between two points on a line?
Tip: A steeper slope means the line rises or falls more quickly as you move along the x-axis.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form: y = mx + b
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 6-8