Parallel and perpendicular lines (AQA GCSE Further Maths): Quizzes

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Parallel and perpendicular lines
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What does the gradient formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} calculate?

How steep a line is

What does 'rise over run' mean in the gradient formula?

Vertical change over horizontal change

What is the gradient of a line through (2,3)(2, 3) and (4,7)(4, 7)?

22

What is the rule for two lines to be parallel?

m1=m2m_1 = m_2

Are lines with gradients 55 and 55 parallel, perpendicular, or neither?

Parallel

What is the rule for two lines to be perpendicular?

m1×m2=−1m_1 \times m_2 = -1

If a line has gradient 44, what is the gradient of a perpendicular line?

−14-\frac{1}{4}

Are lines with gradients 33 and −13-\frac{1}{3} parallel, perpendicular, or neither?

Perpendicular

If a line has gradient 23\frac{2}{3}, what is the perpendicular gradient?

−32-\frac{3}{2}

Why must both axes use the same scale when drawing perpendicular lines?

So they look perpendicular visually

Can you assume lines are perpendicular just from how they look on a diagram?

No, always check gradients

Lines through (1,2)(1,2) to (3,8)(3,8) and (0,1)(0,1) to (2,7)(2,7) are parallel, perpendicular, or neither?

Parallel

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