If f

(

x

)

is a linear function,

f

(

−

2

)

=

2

, and

f

(

2

)

=

0

, find an equation for

f

(

x

)

f(x) = -1/2x + 1

Step-by-step explanation:

Remember that f(x) = y

f(-2) = 2   tells you that when x = -2,  y = 2 ;  So you have point (-2, 2)

f(2) = 0    tells you that when x = 2, y = 0 ;  So you have point (2, 0)

Now use the two points to find the slope:  Slope = (change in y)/(change in x)

So slope = (0-2)/(2-(-2) = -2/4 = -1/2

Next find "b" using the slope and one  point and solve for "b"

y = mx + b             slope = -1/2     point (-2, 2)

2 = -1/2(-2) + b

2 = 1 + b

1 = b

Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b

y = -1/2x + 1

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!