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genyjoannerubiera
29.10.2019 •
Mathematics
The viera family is traveling from philadelphia to orlando for vacation. the equation y=1,000 - 65 x represents the distance in miles remaning in their trip after x hours
a. graph the equation
b.interpret the slope and the y-intercept
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Ответ:
Problem 1
Part a) The graph in the attached figure
Part b) see the explanation
Problem 2
The slope of a horizontal line is equal to zero
Step-by-step explanation:
we have two questions
1) The Viera family is traveling from Philadelphia to Orlando for vacation. the equation y=1,000 - 65 x represents the distance in miles remaining in their trip after x hours
Part a. graph the equation
Part b.interpret the slope and the y-intercept
2) The x- intercept is the x-coordinate of the point where a graph crosses the x- axis. what is the slope of a line that has a y- intercept but no x- intercept
Problem 1)
Part a) Graph the equation
Let
x -----> the time in hours
y ----> the distance in miles
we have
This is a linear equation (the graph is a line)
To graph the line plot the intercepts and join the points
Find out the y-intercept
The y-intercept is the value of y, when the value of x is equal to zero
For x=0
The y-intercept is the point (0,1,000)
Find out the x-intercept
The x-intercept is the value of x, when the value of y is equal to zero
For y=0
The x-intercept is the point (15.385,0)
using a graphing tool
Plot the intercepts and join the points to graph the line
see the attached figure
Part b) Interpret the slope and the y-intercept
we have
This is the equation of a line in slope intercept form
where
m is the slope
b is the y-intercept
In this problem we have
The slope represent the speed from Philadelphia to Orlando and is negative because is a decreasing function
The y-intercept is the value of y, when the value of x is equal to zero
In this problem
The y-intercept is the distance from Philadelphia to Orlando (1,000 miles) at the beginning of the trip (value of x equal to zero)
Problem 2
we know that
If a line has a y- intercept but no x- intercept, then we have a horizontal line (parallel to to the x-axis)
A horizontal line has only y-intercept
The slope of a horizontal line is equal to zero
Ответ:
Yo no habla ingles
Step-by-step explanation: