Quick questions on Linear functions and straight-line graphs explained: O-Level E-Maths

7short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is gradient?

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The gradient measures how steeply the line rises:

What is finding the equation?

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From two points, find the gradient first, then substitute one point into

y = mx + c

to find

c

. From a graph, read the intercept directly off the

y

-axis and compute the gradient from any two clear grid points.

What are parallel lines?

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Parallel lines have the same gradient. So any line parallel to

y = 3x + 2

has gradient

3

and differs only in its intercept

c

. This makes parallelism easy to test by comparing gradients.

What is not rearranging before reading the gradient?

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An equation like

2y = 6x - 5

must be put into

y = mx + c

form first.

What is q1?

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State the gradient and

y

-intercept of

y = -4x + 9

. [2 marks]

What is q2?

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Find the gradient of the line through

(0, 2)

and

(5, 17)

. [2 marks]

What is q3?

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Write the equation of the line with gradient

2

passing through

(0, -3)

. [2 marks]

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