Question

7. A function has a slope of 4, and one solution is given in the table. Identify the missing outputs. 3 4 5 6 6

Answer 1

Slope = -4

Next, find the equation of the function.

`\begin{gathered} \text{Slope = }(y-y_1)/(x-x_1) \\ -4\text{ = }\frac{y\text{ - 12}}{x\text{ - 3}} \\ \text{cross multiply.} \\ y\text{ - 12 = -4(x - 3)} \\ y\text{ - 12 = -4x + 12} \\ y\text{ = -4x + 12 + 12 } \\ y\text{ = -4x + 24} \end{gathered}`

Therefore,

for input 3, output = -4(3) + 24 = -12 + 24 = 12

for input 4, output = -4(4) + 24 = -16 + 24 = 8

for input 5, output = -4(5) + 24 = -20 + 24 = 4

for input 6, output = -4(6) + 24 = -24 + 24 = 0

for input 7, output = -4(7) + 24 = -28 + 24 = -4