Summary (Grade 11 NSC Matric Mathematics): Quizzes

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What is the formula for the distance between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)?

d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

The gradient formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} is often described as what?

Rise over run

What type of gradient does a horizontal line have?

Zero gradient

What is the mid-point of the line segment joining E(4,−2)E(4, -2) and F(−2,6)F(-2, 6)?

(1,2)(1, 2)

What condition must be satisfied for two lines to be parallel?

m1=m2m_1 = m_2

What is the condition for two lines to be perpendicular?

m1×m2=−1m_1 \times m_2 = -1

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

−32-\frac{3}{2}

In the gradient-intercept form y=mx+cy = mx + c, what does cc represent?

The y-intercept

What formula connects the gradient mm to the angle of inclination θ\theta?

m=tan⁡θm = \tan \theta

Which form is best when you know the gradient and one point on the line?

Gradient-point form

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