To make sure its correct before I turn it in

Q.If f(x) is a linear function, which statement must be true?

A.f(x) has no x2-term.

Q2.The graph of a function must be linear if it has what characteristic?

A2.It has a constant slope.

Q3.If f(x) is a linear function, what is the value of n?

HERE IS THE GRAPH
I made it the best I can
[3] [7]
[7] [n]
[9] [16]
[16] [26.5]

A3.N is 11

1 answer

yes but we write it x^2 for x squared

yes, constant slope is linear

slope = change in y / change in x
for example

m = (16-7)/(9-3) = 9/6 = 3/2

y = (3/2) x + b
if x = 3, y = 7
so
7 = (3/2)(3) + b
14/2 = 9/2 + b
b = 5/2
so in the end
y = (3/2) x + 5/2
if x = 7
y = (3/2)(7) + 5/2
y = 26/2
y = 13
=================
check a point to be sure
if x =9
y = (3/2)9 + 5/2
y = 27/2 + 5/2 = 32/2 = 16
so my equation is right
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