Question

y = -\frac{7}{2}x - 25
x | y
-10 |
-8 |
-6 |

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 \( -\frac{7}{2} \times (-10) = \frac{70}{2} = 35 \)
Then, \( y = 35 - 25 = 10 \)

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 \( -\frac{7}{2} \times (-8) = \frac{56}{2} = 28 \)
Then, \( y = 28 - 25 = 3 \)

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 \( -\frac{7}{2} \times (-6) = \frac{42}{2} = 21 \)
Then, \( y = 21 - 25 = -4 \)

Answer:

For \( x = -10 \), \( y = 10 \); for \( x = -8 \), \( y = 3 \); for \( x = -6 \), \( y = -4 \)