Activity
For questions 1 - 7, use the equation
Find the value of when .
3
Find the value of when .
4
Plot both of those points on a coordinate grid and use a ruler to draw a line.
Compare your answer:
What is the coordinate of the -intercept?
Compare your answer:
What is the coordinate of the -intercept?
Compare your answer:
What are two other names for the -intercept?
Compare your answer:
zero, solution
What is the slope of the line?
Self Check
Graph the equation . Which of the following describes the intercepts and slope of the graph?
- -intercept: ; -intercept: ; Slope:
- -intercept: ; -intercept: ; Slope:
- -intercept: ; -intercept: ; Slope:
- -intercept: ; -intercept: ; Slope:
Additional Resources
Graphing a Line and Describing Characteristics
There are many ways to graph an equation of a line. One way is to use the -intercepts and -intercepts as two points on the line.
Example
Graph using the intercepts, then identify key characteristics.
Step 1 - Find the -intercept.
To find the -intercept, let .
is the -intercept
The -intercept is also called a solution or zero.
Step 2 -Find the -intercept.
To find the -intercept, let .
is the -intercept
Step 3 -Graph the line by connecting the -intercepts.
Step 4 - Find the slope of the line.
Try it
Try It: Graphing a Line and Describing Characteristics
For 1 - 2, use the equation .
Graph the equation using the intercepts.
Compare your answer:
Answer:
What is the slope of the line?