Based on the Grade 8 revision trends, would you classify these resulting shapes as linear or non-linear?…

Question

Based on the Grade 8 revision trends, would you classify these resulting shapes as linear or non-linear? Justify your answer briefly.

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for the remaining tasks.

Task 2.2: Classification [2 Marks]

Answer: The resulting shapes are linear. This is because all three equations ( $y = \frac{1}{2}x + 2$ , $y = 2x - 4$ , and $y = -2x + 2$ ) are in the form $y = mx + c$ , which is the general equation for a straight line.

Task 3.1: Visual Identification [4 Marks]

Task 3.2: Algebraic Verification (Equation 2) [6 Marks]

Workspace for Equation 2 ( $y = 2x - 4$ ):

Substitute $x = 0$ into the equation.
$$ y = 2(0) - 4 $$
Multiply.
$$ y = 0 - 4 $$
Subtract.
$$ y = \boxed{-4} $$
2. Solve for the value of x when y = 0:
Substitute $y = 0$ into the equation.
$$ 0 = 2x - 4 $$
Add 4 to both sides.
$$ 4 = 2x $$
Divide by 2.
$$ x = \boxed{2} $$
Task 3.3: Synthesis of Intercepts [2 Marks]
- Answer: When the value "0" appears in a coordinate pair, it indicates that the point lies on one of the axes. If the x-coordinate is 0 (e.g., $(0, y)$ ), the point is on the y-axis. If the y-coordinate is 0 (e.g., $(x, 0)$ ), the point is on the x-axis.

Based on the Grade 8 revision trends, would you classify these resulting shapes as linear or non-linear? Justify your answer briefly.