A straight line L1 has a gradient ˉ½ and passes through point P (-1, 3). Another line L2 passes through the points Q (1, -3) and R (4, 5). Find.(a) The equation of L1. (2mks)(b) The gradient of L2. (1mk)
(c) The equation of L2. (2mks)(d) The equation of a line passing through a point S (0, 5) and is perpendicular to L2. (3mks)(e) The equation of a line through R parallel to L1. (2mks)
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A line passes through the point (-1, 2) and has gradient -½. Write down its equation in the form ax + by = c (3mks)The gradient of a line L through points A(2x, 4) and B(-1, x) is 1/7. find the equation of a line perpendicular to L through B (3mks)
Worked Answer:
Form 2 Mathematics
(a) A line, L1, posies through tho points (3,3) and (5,7). Find the equation of L1, in the form y = mx+c where m and c arc constonti.
(b) Another line L2 is perpendicular to L1, and passes through (-2, 3). Find: (i) the equation of L2; (ii) the x-intercept of L2. (c) Determine the point of intersection of L1, and L2. Form 2 Mathematics
Two vertices of a triangle ABC are A (3,6) and B (7,12).
(a) Find the equation of line AB. (b) Find the equation of the perpendicular bisector of line AB. (c) Given that AC is perpendicular to AB and the equation of line BC is y = -5x + 47, find the coordinates of C. Form 2 Mathematics
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A line with gradient of -3 passes through the points (3 , k) and (k, 8). Find the value of k and hence express the equation of the line in the form ax + by = c ,
where a, b and c are constant Form 2 Mathematics
P(5,-4) and Q (-1,2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: giving the answer in the form y = mx + c.
Form 2 Mathematics
(a) A straight line L, whose equation is 3y — 2x = —2 meets the x-axis at R.
Determine the co-ordinates of R. b) A second line L2 is perpendicular to L1 at R. Find the equation of L2 in the form y = mx + c, where m and c are constants. (c) A third line L3 passes through (—4,1) and is parallel to L2 Find: (i) the equation of L3 in the form y = mx + c, where m and c are constants (ii) the co-ordinates of point S, at which L intersects L Form 2 Mathematics
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(a) Find the equation of L (b) Find the equation of P in the form ax + by = c,where a, b and c are constants. (c) Given that another line Q is parallel to L and passes through point (1, 2) find the x and y intercepts of Q (d) Find the point of the intersection of lines P and Q Form 2 Mathematics
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Find: a) equation of the line in the form y = mx + c; b) the gradient of a line perpendicular to the line in (a) Form 2 Mathematics
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Determine the equation of line L. Form 2 Mathematics
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Find the equation of l in the form y = mx + c, where m and c are constants. Form 2 Mathematics
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Find the value of k. Form 2 Mathematics
The equation of line L1 is 2y-5x-8=0 and line L2 passes through the points (-5, 0) and (5,-4). Without drawing the lines L1 and L2 show that the two lines are perpendicular to each other.
Form 2 Mathematics
Three vertices of a rhombus ABCD are; A(-4,-3), B(1,-1) and c are constants.
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Find the equation of a straight line which is equidistant from the points ( 2,3) and ( 6, 1), expressing it in the form ax + by = c where a, b and c are constants
Form 2 Mathematics
A line with gradient of -3 passes through the points (3. k) and (k.8). Find the value of k and hence express the equation of the line in the form a ax + ab = c, where a, b, and c are constants.
Form 2 MathematicsA line L1 passes though point (1,2) and has a gradient of 5. Another line L2, is perpendicular to L1 and meets it at a point where x = 4. Find the equation for L2 in the form of Y = Mx + C Form 2 Mathematics
Find equation of the perpendicular to the line x + 2y – 4 and passes through point (2,1)
Form 2 Mathematics
The equation of a line is
\[-\frac{3}{5}x + 3y = 6\]
Find the:
Related QuestionsThe data given below represents the average monthly expenditure, E in K £, on food in a certain village. The expenditure varies with number of dependents, D in the family(a) Using the grid provided, plot E against D and draw the line of the best fit ( 2 marks) |
A perpendicular to the line -4x + 3 = 0 passes through the point (8,5). Determine its equation. |
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