1) What is the slope of the line in the graph show below?
1 answer:
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Answer:
A. y = 80x
B. g(x) = 80x
C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Step-by-step explanation:
Part A:
To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.
x and y remain the same in the equation.
To find m, use the slope formula with (5,465) and (7, 625).
It costs $80 a day.
The equation is y = 80x.
Part B:
Function notation replaces Y as g(x). So the equation is g(x) = 80x.
Part C:
To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the first equation:
You can identify that:
By definition, the line intersects the x-axis when . Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:
Now you can graph it.
Solve for "y" from the second equation:
You can identify that:
Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>
See the graph attached.
