Linear equations and linear functions
Identifying the slope and y-intercept
Look at the examples:
The following is a table of values:
- Can you find the y-intercept of a line from a table of values?
- What is the meaning of those values in the table?
Identifying the slope and y-intercept
Can you find the slope of a line or rate of change from a table of values?
Identifying the slope and y-intercept
Look at the examples:
The following is a table of values:
- Can you identify the y-intercept of the line from that table of values?
- Can you see the rate of change or the slope from that table of values?
Identifying the slope and y-intercept
Click on the icon and practice with the simulator
Keep in mind!
Linear equations
The slope-intercept form of a linear equation is an equation written:y= mx + b Where the slope is m and the y-intercept is b.
Identifying the slope and y-intercept
Look at the examples:
Look at the graph of a linear equation
- Can you identify the y-intercept of the line from the graph?
- Can you see the rate of change or the slope from the graph?
- Can you write the equation in the slope-intercept form from the graph?
Identifying the slope and y-intercept
Look at the examples:
Let's graph the equation y=2x+3 in slope-intercept form:
- Can you identify the y-intercept of the line from the equation?
- Can you see the rate of change or the slope from the equation?
- What do you need to graph the equation?
point-slope formula
If you have a point and the slope of a line, you can find the linear equation.
Time to practice!
LINEAR FUNCTIONS
Relation
or
Function
SUMMARY
LINEAR FUNCTIONS
Many stretches have a speed limit of 120km/h. If a car travels continuously at this speed, the linear equation y=120x gives the number of kilometers y that the car would travel in x hours.
How to find a linear function?
Let's suppose that we have two points: (-1, 15) and (2, 27). We can find the linear function using those points:
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
thanks
Linear equations and linear functions
stefanny ruiz
Created on August 29, 2022
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Transcript
Linear equations and linear functions
Identifying the slope and y-intercept
Look at the examples:
The following is a table of values:
Identifying the slope and y-intercept
Can you find the slope of a line or rate of change from a table of values?
Identifying the slope and y-intercept
Look at the examples:
The following is a table of values:
Identifying the slope and y-intercept
Click on the icon and practice with the simulator
Keep in mind!
Linear equations
The slope-intercept form of a linear equation is an equation written:y= mx + b Where the slope is m and the y-intercept is b.
Identifying the slope and y-intercept
Look at the examples:
Look at the graph of a linear equation
Identifying the slope and y-intercept
Look at the examples:
Let's graph the equation y=2x+3 in slope-intercept form:
point-slope formula
If you have a point and the slope of a line, you can find the linear equation.
Time to practice!
LINEAR FUNCTIONS
Relation
or
Function
SUMMARY
LINEAR FUNCTIONS
Many stretches have a speed limit of 120km/h. If a car travels continuously at this speed, the linear equation y=120x gives the number of kilometers y that the car would travel in x hours.
How to find a linear function?
Let's suppose that we have two points: (-1, 15) and (2, 27). We can find the linear function using those points:
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
Problems modeled by linear functions
thanks