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There are several examples, and they are based on two things existing: a rate of change (the slope) and a starting value (the y-intercept).
Example #1: In my town, if I rent a moving van, it costs $39.99 a day and then $0.89 per mile I drive the truck. So, let's say that I'm only going to use the truck for one day and then return it at the end of the day. The amount I'm going to pay (exclusing taxes) is determined by y = 0.89x + 39.99, where "x" is the number of miles I drive the truck and "y" is the cost based on "x" miles.
Example #2: My long distance company charges me $5.00 each month for its special $0.05 per minute rate on long distance. If I want to calculate how much I'm going to pay for my long distance bill (again, excluding any taxes), I can use the linear equation y = 0.05x + 5, where "x" is the number of minutes I call long distance and "y" is the cost of the long distance usage.
Any situation where you have a flat fee (this would be the y-intercept) and a cost that changes based on your usage (the slope) would work to put into this format.
Hope that helps!
Nancy
What else can I help you with?
What is a slope intercept form?
A linear equation in two variables can be written in slope-intercept form, y = mx + b, for real numbers m and b.The slope is m, and the y-intercept is b (the y-coordinate of any point where the graph crosses the y-axis).
How do you interpret the slope and y intercept in a real world case?
How do you interpret the slope and y intercept in a real world case?
What is the range of y equals -4x?
This is the equation of a line with slope -4 and y intercept at 0. The domain is all real numbers as is the range.
When should you use slope intercept form?
Slope-intercept form, expressed as (y = mx + b), is ideal for quickly identifying the slope (m) and y-intercept (b) of a linear equation. It is particularly useful when graphing linear functions, as it allows you to easily plot the line by starting at the y-intercept and using the slope to determine other points. Additionally, it is beneficial in solving problems involving linear relationships, such as in real-world applications like economics or physics, where understanding the rate of change is crucial.
What equation represents a line that is parallel to the line y-4x plus 5?
To find a line that is parallel to the line represented by the equation ( y - 4x + 5 = 0 ), we first rewrite it in slope-intercept form: ( y = 4x - 5 ). The slope of this line is 4. A parallel line will have the same slope, so a general equation for a parallel line can be expressed as ( y = 4x + b ), where ( b ) is any real number.
What is the real life meaning of slope?
The slope-intercept equation y = mx + b is that they mechanically substitute for m and b without understanding their meaning.
What is a slope intercept form?
A linear equation in two variables can be written in slope-intercept form, y = mx + b, for real numbers m and b.The slope is m, and the y-intercept is b (the y-coordinate of any point where the graph crosses the y-axis).
How do you interpret the slope and y intercept in a real world case?
How do you interpret the slope and y intercept in a real world case?
What is the range of y equals -4x?
This is the equation of a line with slope -4 and y intercept at 0. The domain is all real numbers as is the range.
Which of the following is an equation of a line with a zero slope?
A line with a zero slope is a horizontal line with an equation y = b, where b is any real number on the y-axis. It means that the line y = b intersects y-axis at b. You also can write the equation of a horizontal line in the slope-intercept form, such as y = 0*x + b.
How do you change standardform in to slop intercept form?
The standard form of the equation of a line is written as: Ax + By = C, where A, B, and C are real numbers, and A and B are not both 0. When we want to graph an equation that is written in general form, we can solve the equation for y and write the equation in slope-intercept form. Example: Transform the equation 2x + 4y = 8 into its slope-intercept form, and graph the equation. Solution: 2x + 4y = 8 subtract 2x to both sides; 4y = - 2x + 8 divide by 4 to both sides; y = - (1/2)x + 2 This is the slope-intercept form (y = mx + b) of the equation 2x + 4y = 8. The coefficient of x, -(1/2), is the slope, and the y-intercept is 2. Now we are able to graph the line using the fact that the y-intercept is 2, and the slope is -(1/2). Start at the point (0, 2), go to the right 2 units and then down 1 unit (since the slope is -(1/2))to the point (2, 1). Then draw the line that passes through the points (0, 2) and (2, 1).
What is the equation in slope-intercept form of the line that has a slope of 5 and y-intercept of -3?
8
When should you use slope intercept form?
Slope-intercept form, expressed as (y = mx + b), is ideal for quickly identifying the slope (m) and y-intercept (b) of a linear equation. It is particularly useful when graphing linear functions, as it allows you to easily plot the line by starting at the y-intercept and using the slope to determine other points. Additionally, it is beneficial in solving problems involving linear relationships, such as in real-world applications like economics or physics, where understanding the rate of change is crucial.
How is the slope intercept formula used in real life situations?
Roller Coasters
What do the slope and intercept of a real world linear function represent?
y=mx+c where y is the output and m is the slope
What equation represents a line that is parallel to the line y-4x plus 5?
To find a line that is parallel to the line represented by the equation ( y - 4x + 5 = 0 ), we first rewrite it in slope-intercept form: ( y = 4x - 5 ). The slope of this line is 4. A parallel line will have the same slope, so a general equation for a parallel line can be expressed as ( y = 4x + b ), where ( b ) is any real number.
What are some real world examples for positive slope?
An upgrade on a road...
