✅ Done watching all 3? Scroll down and start the exercises!
🗺️ Part 1: Warm-Up Videos 1 & 2
Question 1 · Multiple Choice
In an ordered pair like (4, −2), which number tells you how far to move left or right?
Question 2 · Multiple Choice
In y = mx + b, what does m represent?
Question 3 · Multiple Choice
When you graph a linear equation on the coordinate plane, the result is always a ___.
Question 4 · Fill In
For the equation y = −2x + 9: Slope (m) = ___ y-intercept (b) = ___
m =b =
In y = mx + b, m is the number in front of x and b is the number added. Here m = −2 (negative slope — line goes downward!) and b = 9.
Question 5 · Complete the Table
Fill in the missing y-values for y = 2x + 1
x
y = 2x + 1
−2
0
1
3
Substitute each x: for x = −2 → y = 2(−2) + 1 = −4 + 1 = −3.
Question 6 · Multiple Choice
Which point lies on the line y = −x + 4?
Plug each x into y = −x + 4. For x = 3: y = −3 + 4 = 1 ✓ → (3, 1) is on the line!
➕➖ Part 2: Multiplying with Negative Numbers Quick Review
When you plug a negative x into y = mx + b, you need to multiply correctly.
Here are the four rules — memorise them! 👇
(+) × (+) = (+)
positive × positive = positive
e.g. 3 × 2 = 6
(+) × (−) = (−)
positive × negative = negative
e.g. 3 × (−2) = −6
(−) × (+) = (−)
negative × positive = negative
e.g. (−3) × 2 = −6
(−) × (−) = (+)
negative × negative = positive
e.g. (−3) × (−2) = 6
💡 Easy trick: Same signs → positive result | Different signs → negative result
Signs Question 1 · Multiple Choice
What is (−4) × 3?
Signs Question 2 · Multiple Choice
What is (−5) × (−2)?
Signs Question 3 · Multiple Choice
In y = −3x + 2, you substitute x = −4. What is −3 × (−4)?
Both numbers are negative → same signs → the answer is positive. (−3) × (−4) = +12.
Signs Question 4 · Fill In
For y = 2x − 5, substitute x = −3.
Step 1: 2 × (−3) = ___
Step 2: ___ − 5 = ___ (that's your final y value)
2 × (−3) =
y =
Step 1: positive × negative = negative → 2 × (−3) = −6. Step 2: y = −6 − 5 = −11. Different signs always give a negative result!
✏️ Part 3: Draw the Line! Video 3
Question 7 · Draw the Line
Graph y = x − 1. Step 1: Check the table values mentally. Step 2: Click those points on the grid, then hit Check My Line.
x
y = x − 1
−2
−3
0
−1
3
2
Click on (−2, −3), (0, −1), and (3, 2). The grid snaps to whole-number coordinates. Slope is +1 so the line goes up to the right.
Question 8 · Draw the Line
Graph y = −2x + 3.
The y-intercept is 3 and slope is −2 (right 1 → down 2).
Click at least 2 points, then hit Check My Line.
x
y = −2x + 3
−1
5
0
3
2
−1
Start at (0, 3). From there, slope = −2 means go right 1 → down 2 → land on (1, 1). Notice the line goes downward — that's a negative slope!
Question 9 · Table + Draw
Graph y = 2x − 3. Step 1: Fill in the y-values, hit Check Table. Step 2: Plot the points, hit Check My Line.
x
y = 2x − 3
−1
0
2
3
For x = −1 → y = 2(−1) − 3 = −5. For x = 0 → y = −3. Slope = 2 (positive), so the line climbs left to right.
Question 10 · Table + Draw
Graph y = ½x + 2. Step 1: Fill in the y-values (even x-values give whole-number answers!), hit Check Table. Step 2: Plot the points, hit Check My Line.
x
y = ½x + 2
−4
−2
0
4
For x = −4: y = ½(−4) + 2 = −2 + 2 = 0. The slope ½ is gentle — the line rises slowly compared to slope = 2 or 3.
Question 11 · Table + Draw
Graph y = −3x + 2. Step 1: Fill in the 2 missing y-values, hit Check Table. Step 2: Plot both points and hit Check My Line. Only 2 points needed — then draw the line through them!
x
y = −3x + 2
0
2
For x = 0: y = −3(0) + 2 = 2 → point (0, 2). For x = 2: y = −3(2) + 2 = −4 → point (2, −4). Slope = −3: the line drops steeply to the right!