Equation of a straight line (AQA GCSE Further Maths): Quizzes

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Equation of a straight line
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In the equation y=mx+cy = mx + c, what does mm represent?

The gradient

In the equation y=mx+cy = mx + c, what does cc represent?

The y-intercept

What is the gradient of the line y=3x−7y = 3x - 7?

33

What property do parallel lines share?

They have the same gradient

For perpendicular lines with gradients m1m_1 and m2m_2, what is the key relationship?

m1×m2=−1m_1 \times m_2 = -1

If a line has gradient 54\frac{5}{4}, what is the gradient of a perpendicular line?

−45-\frac{4}{5}

To find the x-intercept of a line, what should you substitute?

y=0y = 0

To find the y-intercept of a line, what should you substitute?

x=0x = 0

What is the midpoint of the line segment joining (8,5)(8, 5) and (4,9)(4, 9)?

(6,7)(6, 7)

The line 5x−4y=405x - 4y = 40 intersects axes at P(8,0)(8,0) and Q(0,−10)(0,-10). What is the area of △OPQ?

4040 units²

What is the gradient of the line passing through P(8,0)(8,0) and Q(0,−10)(0,-10)?

54\frac{5}{4}

In point-slope form y−y1=m(x−x1)y - y_1 = m(x - x_1), what does (x1,y1)(x_1, y_1) represent?

A known point the line passes through

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Coordinate geometry

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Coordinate geometry

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Geometry II

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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