1

If the gradient of the straight line ky = kx + x + 7 is 2, 

find: (i) the value of k

(ii) the y -intercept.

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2

Find the equation of the line through the point (2,?2) crossing the y-axis at the same point as the line whose equation is y=2x- 4

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3

Express y in terms of x; 3x + 2y = 6 and Without drawing the graph, state the gradient, the y – intercept and x – intercept in the equation.

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4

Find the equation of a line passing through the point P(-1, 4) and has a gradient of 10.

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5

The co-ordinates of the square PQRS are given by P(1, 4), Q(3, 4), R(3, 2), and S(1, 2). Write the co-ordinates of the image of the square P’Q’R’S’ under reflection in the x-axis.

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6

A line whose gradient is 3/ 2 has the x-intercept of - 3. Find the equation of  the line in the form  y=mx + c , where m and c are constants.

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7

Find the slope of the line with equation 7x + 2y = 8.

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8

  Find the point of intersection of the lines x - 2y = -5 and 2x + 7y - 34 = 0

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9

Find the slope of a straight line which passes through points A (0, a) and B(3a,0)

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10

Find the gradient of the straight line passing through the points (? 5, 2) and (6, 2) .

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11

A line passes through the points A(6, 4) and B(12, 6). Find the slope and the equation of the line.

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12

Find the equation of the straight line passing through the points (3, 5) and (7, 9). (Express your answer in the form y= mx + c).

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13

The vertices's of a triangle are A (2, 2), B(3, 4) and C (4, 3). If the triangle is reflected in the y-axis, write down the coordinates of the image of points A, B and C.

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14

If the straight line that is passing through the points and AB A(2, 6) B(t, 3) has gradient ? 1 , find the value of t .

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15

If the line whose equation is y = 3x - p passes through points (6, 10) and (q, 22), find the value of p and q where p and q are integers. 

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16

If the slope of the straight line through the points (7,4) and (-2, k) is 1, find the value of k.

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