Quiz worksheet focused on straight line graphs, featuring multiple-choice questions that test understanding of intercepts, points on lines, and graph interpretation.

Let’s solve each question one by one, step by step.

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Question 1:
The y-intercept of the line given by y = 3x – 6 is...

👉 Remember: The y-intercept is where the line crosses the y-axis. That happens when x = 0.

So plug in x = 0 into the equation:

y = 3(0) – 6
y = 0 – 6
y = -6

So the point is (0, -6) — because x=0 and y=-6.

✔ Correct answer: B (0, -6)

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Question 2:
The line given by y = 12 – 4x has its y-intercept at...

Again, y-intercept means x = 0.

Plug in x = 0:

y = 12 – 4(0)
y = 12 – 0
y = 12

So the point is (0, 12)

✔ Correct answer: C (0, 12)

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Question 3:
Looking at the graph (we can see it crosses the x-axis at x=3, and y-axis at y=-6).

Let’s check the options:

A. An x-intercept at (3, 0) → Yes! When y=0, x=3. That matches the graph.

B. A y-intercept at (3, 0) → No, that’s an x-intercept point. Y-intercept must have x=0.

C. An x-intercept at (0, -6) → No, that’s a y-intercept point. X-intercept must have y=0.

D. The point (-4, 1) on the line → Let’s test: if x=-4, what’s y? From the graph, when x=-4, y looks like -10 or so — not 1. So no.

✔ Correct answer: A An x-intercept at (3, 0)

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Question 4:
Graph shows a line crossing the y-axis at y=8, and x-axis at x=-4.

Check options:

A. An x-intercept at (0, -4) → No, x-intercept must be (something, 0). This is written as (0,-4) which is a y-intercept format.

B. An x-intercept at (0, 8) → Again, wrong format. Should be (x, 0). Also, 8 is on y-axis.

C. A y-intercept at (8, 0) → No, y-intercept must be (0, something). This is backwards.

D. A y-intercept at (0, 8) → YES! The line crosses y-axis at y=8 → point (0,8)

✔ Correct answer: D A y-intercept at (0, 8)

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Question 5:
What is the gradient of the line y = 2x – 3?

👉 In the form y = mx + c, m is the gradient.

Here, m = 2.

✔ Correct answer: 2

*(Note: Since this is multiple choice but options aren’t shown for Q5, we assume you just need to state the gradient. If there were choices, pick the one that says 2.)*

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Final Answer:
1. B
2. C
3. A
4. D
5. 2