Math Problem Statement
y= 8/5x-5
Solution
The equation given is . This is a linear equation in slope-intercept form, , where:
- is the slope.
- is the y-intercept.
For your equation:
- The slope is , meaning that for every 5 units moved horizontally, the value of increases by 8 units.
- The y-intercept is , which means the line crosses the y-axis at .
Key Information:
- Slope:
- Y-intercept:
- The graph will be a straight line.
Would you like further details on how to graph this, or do you have any other questions?
Here are 5 related questions you might consider:
- How do you find the x-intercept of a line?
- What happens to the graph if the slope changes to a negative value?
- How do you calculate the slope from two points on a line?
- How can you determine if two lines are parallel?
- What is the equation of a line perpendicular to this one through the origin?
Tip: To find the x-intercept of the line, set and solve for .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b
Slope = rise/run
X-intercept: Set y = 0 and solve for x
Theorems
-
Suitable Grade Level
Grades 8-10