What is the slope of a line that passes through the points (8,5) and (13,2)?
2 answers:
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Answer:
Step-by-step explanation:
Answer:
Part A) The slope of the function f(x) is greater than the slope of the function g(x) (see the explanation)
Part B) Function g(x) has a greater y-intercept than the function f(x) (see the explanation)
Step-by-step explanation:
Part A)
step 1
Find the slope of function f(x)
Find the slope m
The formula to calculate the slope between two points is equal to
take the points
(0,-6) and (1,0)
substitute in the formula
step 2
Find the slope of function g(x)
we have
This is the equation of the line in slope intercept form
where
m is the slope
b is the intercept
In this problem we have
step 3
Compare the slopes
The slope of f(x) is m=6
The slope of g(x) is m=2
therefore
The slope of the function f(x) is greater than the slope of the function g(x)
Part B) Which function has a greater y-intercept?
we know that
The y-intercept is the value of y when the value of x is equal to zero
step 1
Determine the y-intercept of the function f(x)
Looking at the data in the table
For x=0, f(x)=-6
therefore
The y-intercept of f(x) is -6
step 2
Determine the y-intercept of the function g(x)
we have
The y-intercept of the function g(x) is 6 (see part A)
Compare the y-intercept
6 > -6
therefore
Function g(x) has a greater y-intercept than the function f(x)