QUESTION IMAGE
Question
5 ( y = -3x + 5 )
| ( x ) | ( y ) |
|---|---|
| 1 | |
| 3 | |
| 4 |
(and a coordinate grid)
7 ( y = \frac{x}{2} + 7 )
| ( x ) | ( y ) |
|---|---|
| -6 | |
| -2 | |
| 0 |
(and a coordinate grid)
8 ( y = -\frac{1}{4}x + ) (partially visible)
(and a table with ( x ) values 1, 3, 5, 8 and empty ( y ) cells, and another table with ( x ) values -8, -4, 0, 4 and empty ( y ) cells)
Problem 5: \( y = -3x + 5 \)
Step 1: Calculate \( y \) when \( x = -1 \)
Substitute \( x = -1 \) into the equation:
\( y = -3(-1) + 5 = 3 + 5 = 8 \)
Step 2: Calculate \( y \) when \( x = 1 \)
Substitute \( x = 1 \):
\( y = -3(1) + 5 = -3 + 5 = 2 \)
Step 3: Calculate \( y \) when \( x = 3 \)
Substitute \( x = 3 \):
\( y = -3(3) + 5 = -9 + 5 = -4 \)
Step 4: Calculate \( y \) when \( x = 4 \)
Substitute \( x = 4 \):
\( y = -3(4) + 5 = -12 + 5 = -7 \)
Problem 7: \( y = \frac{x}{2} + 7 \)
Step 1: Calculate \( y \) when \( x = -8 \)
Substitute \( x = -8 \):
\( y = \frac{-8}{2} + 7 = -4 + 7 = 3 \)
Step 2: Calculate \( y \) when \( x = -6 \)
Substitute \( x = -6 \):
\( y = \frac{-6}{2} + 7 = -3 + 7 = 4 \)
Step 3: Calculate \( y \) when \( x = -2 \)
Substitute \( x = -2 \):
\( y = \frac{-2}{2} + 7 = -1 + 7 = 6 \)
Step 4: Calculate \( y \) when \( x = 0 \)
Substitute \( x = 0 \):
\( y = \frac{0}{2} + 7 = 0 + 7 = 7 \)
Filled Tables:
Problem 5 Table:
| \( x \) | \( y \) |
|---|---|
| \( 1 \) | \( 2 \) |
| \( 3 \) | \( -4 \) |
| \( 4 \) | \( -7 \) |
Problem 7 Table:
| \( x \) | \( y \) |
|---|---|
| \( -6 \) | \( 4 \) |
| \( -2 \) | \( 6 \) |
| \( 0 \) | \( 7 \) |
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Problem 5: \( y = -3x + 5 \)
Step 1: Calculate \( y \) when \( x = -1 \)
Substitute \( x = -1 \) into the equation:
\( y = -3(-1) + 5 = 3 + 5 = 8 \)
Step 2: Calculate \( y \) when \( x = 1 \)
Substitute \( x = 1 \):
\( y = -3(1) + 5 = -3 + 5 = 2 \)
Step 3: Calculate \( y \) when \( x = 3 \)
Substitute \( x = 3 \):
\( y = -3(3) + 5 = -9 + 5 = -4 \)
Step 4: Calculate \( y \) when \( x = 4 \)
Substitute \( x = 4 \):
\( y = -3(4) + 5 = -12 + 5 = -7 \)
Problem 7: \( y = \frac{x}{2} + 7 \)
Step 1: Calculate \( y \) when \( x = -8 \)
Substitute \( x = -8 \):
\( y = \frac{-8}{2} + 7 = -4 + 7 = 3 \)
Step 2: Calculate \( y \) when \( x = -6 \)
Substitute \( x = -6 \):
\( y = \frac{-6}{2} + 7 = -3 + 7 = 4 \)
Step 3: Calculate \( y \) when \( x = -2 \)
Substitute \( x = -2 \):
\( y = \frac{-2}{2} + 7 = -1 + 7 = 6 \)
Step 4: Calculate \( y \) when \( x = 0 \)
Substitute \( x = 0 \):
\( y = \frac{0}{2} + 7 = 0 + 7 = 7 \)
Filled Tables:
Problem 5 Table:
| \( x \) | \( y \) |
|---|---|
| \( 1 \) | \( 2 \) |
| \( 3 \) | \( -4 \) |
| \( 4 \) | \( -7 \) |
Problem 7 Table:
| \( x \) | \( y \) |
|---|---|
| \( -6 \) | \( 4 \) |
| \( -2 \) | \( 6 \) |
| \( 0 \) | \( 7 \) |