Basic Coordinate Geometry (Edexcel A-Level Mathematics): Quizzes

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Basic Coordinate Geometry
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What are the coordinates of the origin on the Cartesian plane?

(0,0)(0, 0)

What is the distance between points A(1,2)A(1, 2) and B(4,6)B(4, 6)?

55

Which formula calculates distance between (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)?

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

What is the midpoint of the segment joining (1,2)(1, 2) and (4,6)(4, 6)?

(2.5,4)(2.5, 4)

What is the slope of the line through (1,2)(1, 2) and (4,6)(4, 6)?

43\frac{4}{3}

What type of line has a slope of 00?

Horizontal line

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

The yy-intercept

What is the equation of a line through (2,3)(2, 3) with slope 22 in point-slope form?

y−3=2(x−2)y - 3 = 2(x - 2)

If two lines are parallel, what is true about their slopes?

They are equal

What is the slope of a line perpendicular to one with slope 23\frac{2}{3}?

−32-\frac{3}{2}

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