The answer will be yes.
Why?
Well, you know that's it's a linear equation/ function if the exponents are only 1. And by looking at this equation you'll see that there are no exponents other than 1. So the answer is yes, it is a linear equation.
First choice in the upper left corner.
It is the same shape with same proportions, just dilated.
2/5 = 0.4
8/20 = 0.4
Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3
Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10
what are their present ages
find M and N
substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:
4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14
M = 2(14) - 3 = 28 - 3 = 25
Mike is 25 and Nuke is 14.
check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10
M is the slope so the slope is 1
