The slope of both functions remains the same, there is no effect of the value of k on a slope.
What is a slope?
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Change in the value of y-intercept. For f(x) y-intercept is 5 and for g(x) y-intercept is 2.
The given functions are :
f(x) = 2x + 5
g(x) = ( 2x + 5) -3
From the graph of both functions,
Let us consider two pairs of coordinates to find the slope,
For f(x)
(0,5) and ( -2, 1)
The slope of f(x)
m= ( 1- 5) / (-2 -0)
m= 2
For g(x) at (0,2) and (-1, 0) slope of g(x),
m = ( 0-2) / (-1-0)
m = 2
The slope remains unaffected.
y-intercept of f(x) , put x = 0
⇒ y = 5
y-intercept of g(x) , put x = 0
y =(0+ 5) -3
y = 2
Change in the value of y-intercept due to the value of k = -3.
Therefore, for the given function f(x) = 2x + 5 and g(x) = ( 2x + 5) -3, the effects of the value of k on slope and y-intercept are as follows:
The slope of both functions remains the same, there is no effect of the value of k on a slope.
Change in the value of y-intercept. For f(x) y-intercept is 5 and for g(x) y-intercept is 2.
The graph is attached.
Learn more about slopes here
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