Question

question
given the function below, fill in at least 3 rows of the table of values (you may skip the others). then use the table values to graph.

b = -\frac{1}{2}x + 4

answers must be written as fractions in simplest form. but, you only need to complete 3 rows (i can skip the rest). hint: try to find rows that would not result in fractions.

(table with x values: -4, -3, -2, -1, 0, 1, 2, 3, 4 and columns for b = -\frac{1}{2}x + 4, with some cells filled or empty)

(other text and multiple-choice options partially visible but not fully legible from the image)

Explanation:

To solve for the value of \( y = -\frac{1}{2}x + 4 \) when \( x = -4 \) (the blue cell), we follow these steps:

Step 1: Substitute \( x = -4 \) into the equation

We have the equation \( y = -\frac{1}{2}x + 4 \). Substitute \( x = -4 \) into this equation:

$$ y = -\frac{1}{2}(-4) + 4 $$

Step 2: Simplify the multiplication

First, calculate \( -\frac{1}{2}(-4) \). Multiplying two negative numbers gives a positive result, and \( \frac{1}{2} \times 4 = 2 \), so:

$$ -\frac{1}{2}(-4) = 2 $$

Step 3: Simplify the addition

Now, add 4 to the result from Step 2:

$$ y = 2 + 4 $$

$$ y = 6 $$

So the value in the blue cell (where \( x = -4 \)) for the equation \( y = -\frac{1}{2}x + 4 \) is \( 6 \).

Answer:

To solve for the value of \( y = -\frac{1}{2}x + 4 \) when \( x = -4 \) (the blue cell), we follow these steps:

Step 1: Substitute \( x = -4 \) into the equation

We have the equation \( y = -\frac{1}{2}x + 4 \). Substitute \( x = -4 \) into this equation:

$$ y = -\frac{1}{2}(-4) + 4 $$

Step 2: Simplify the multiplication

First, calculate \( -\frac{1}{2}(-4) \). Multiplying two negative numbers gives a positive result, and \( \frac{1}{2} \times 4 = 2 \), so:

$$ -\frac{1}{2}(-4) = 2 $$

Step 3: Simplify the addition

Now, add 4 to the result from Step 2:

$$ y = 2 + 4 $$

$$ y = 6 $$

So the value in the blue cell (where \( x = -4 \)) for the equation \( y = -\frac{1}{2}x + 4 \) is \( 6 \).