The initial value of the linear function represented by this graph is given by:
D. 7
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the y-intercept is of 7, as the function goes through point (0,7), hence option d is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
-4, 20, -100, 500, -2500
Step-by-step explanation:
use the formula ar^(n-1)
where a is the first term
r is the common ratio
n is the nth term
Answer:
m = -6
Step-by-step explanation:
3m= 5(m + 3)-3
Distribute
3m = 5m +15 -3
Combine like terms
3m = 5m +12
Subtract 5m
3m-5m = 5m+12-5m
-2m = 12
Divide by -2
-2m/-2 = 12/-2
m = -6
Ok. So first, we calculate the slope!
m=(y2-y1)÷(x2-x1)= (5-2)÷(3-1)=3/2.
Now that we have the slope, we can start to write an equation for the line by plugging in the given points. b is the y-intercept.
y=mx+b.
2=(3/2)1+b
b=2-(3/2)=2-1.5=.5 or 1/2
so the y-int is (0,.5 or 1/2) .
Next, we have to find the x-int.
to do that, we just plug in 0 for the y.
0=1.5x+.5
x=-.5/1.5= (1/3)
so the x-intercept is
(1/3 or .33,0).