Math Problem Statement
A, B, and C are coordinates on the line y = x - 7. Use the table of values to find A, B, and C.
Solution
To find the coordinates , , and on the line using the table of values, we follow these steps:
- The line equation given is .
- We have the values from the table: , , and .
- We need to find the corresponding values for these values using the equation .
Let's calculate the values for each :
-
For : So, the coordinate is .
-
For : So, the coordinate is .
-
For : So, the coordinate is .
Thus, the coordinates are:
Would you like more details or have any questions about these calculations?
Here are five related questions for further practice:
- What would be the coordinate of a point on the line if ?
- How would the equation change if the line was shifted up by 3 units?
- What is the slope of the line ?
- Find the coordinates of a point on the line for .
- What is the -intercept of the line ?
Tip: To determine the slope and intercept of a linear equation in the form , represents the slope and represents the -intercept.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Coordinate Geometry
Formulas
y = x - 7
Theorems
Slope-Intercept Form of a Line
Suitable Grade Level
Grades 6-8