Math Problem Statement
The following table represents a linear relationship. Select ALL equivalent forms of the slope.
Solution
To find the slope, we can use the slope formula between two points:
Let's use two pairs of points from the table to calculate the slope.
Step 1: Choose Two Points
From the table:
- Point 1: (5, 5)
- Point 2: (7, 3)
Step 2: Substitute into the Slope Formula
The slope is .
Step 3: Select All Equivalent Forms of the Slope
Looking at the options, the equivalent forms of are:
So, the correct answers are:
Would you like further details, or do you have any questions?
Here are 5 related questions that could deepen understanding:
- How do you determine if two ratios are equivalent?
- Can the slope formula be used if the relationship is not linear?
- How would you calculate the slope if one of the points had a zero coordinate?
- What does a negative slope indicate about the relationship between and ?
- How would the slope change if the -values were reversed?
Tip: When calculating the slope, always check your points and calculations carefully to ensure accuracy!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope Calculation
Formulas
Slope formula m = (y2 - y1) / (x2 - x1)
Theorems
Slope in a linear relationship
Suitable Grade Level
Grades 7-9