Question

complete the table and then graph the function.
$y = -4x + 14$

x	y
2	\boxed{}
3	\boxed{}

click to select points on the graph.

Explanation:

Step1: Substitute x=1 into the function

We have the function \( y = -4x + 14 \). When \( x = 1 \), we substitute \( x \) into the equation: \( y=-4(1)+14=-4 + 14 = 10 \).

Step2: Substitute x=2 into the function

When \( x = 2 \), substitute into \( y=-4x + 14 \): \( y=-4(2)+14=-8 + 14 = 6 \).

Step3: Substitute x=3 into the function

When \( x = 3 \), substitute into \( y=-4x + 14 \): \( y=-4(3)+14=-12 + 14 = 2 \).

Answer:

For \( x = 1 \), \( y = 10 \); for \( x = 2 \), \( y = 6 \); for \( x = 3 \), \( y = 2 \). So the completed table has \( y \)-values 10, 6, 2 for \( x = 1, 2, 3 \) respectively.