if the equation y=-4x+b represents the line that passes throught the point (1,4) determine the value of the y-intercept
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Hi there!
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.
Answer:
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.
You need to find slope of the line with the formula:
Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:
You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:
Substituting the slope and the y-intercept found into , you get the equation of this line:
Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.