Question

y = -\frac{7}{2}x - 25\
\

x	y	\
-10	\square	\
-8	\square	\
-6	\square

Explanation:

Step1: Substitute \( x = -10 \) into the equation

We have the equation \( y = -\frac{7}{2}x - 25 \). Substitute \( x = -10 \) into it:
\( y = -\frac{7}{2} \times (-10) - 25 \)
First, calculate \( -\frac{7}{2} \times (-10) = 35 \), then \( 35 - 25 = 10 \). So when \( x = -10 \), \( y = 10 \).

Step2: Substitute \( x = -8 \) into the equation

Substitute \( x = -8 \) into \( y = -\frac{7}{2}x - 25 \):
\( y = -\frac{7}{2} \times (-8) - 25 \)
Calculate \( -\frac{7}{2} \times (-8) = 28 \), then \( 28 - 25 = 3 \). So when \( x = -8 \), \( y = 3 \).

Step3: Substitute \( x = -6 \) into the equation

Substitute \( x = -6 \) into \( y = -\frac{7}{2}x - 25 \):
\( y = -\frac{7}{2} \times (-6) - 25 \)
Calculate \( -\frac{7}{2} \times (-6) = 21 \), then \( 21 - 25 = -4 \). So when \( x = -6 \), \( y = -4 \).

Answer:

When \( x = -10 \), \( y = 10 \); when \( x = -8 \), \( y = 3 \); when \( x = -6 \), \( y = -4 \). So the filled table is:

\( x \)	\( y \)
-8	3
-6	-4