Untitled-117

# Untitled-117 - REVIEW EXERCISE — LEVEL 1 Q 1 Express each...

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Unformatted text preview: REVIEW EXERCISE — LEVEL 1 Q. 1 Express each of the following equations in the form y : n1.r+&~, an: state the gradient and y-intercept in each case: (a) y—5x+3=0 (b) x—2y—220 (c) 2x—3y+2=0 (d) 3x+4y+12=0 Q. 2 What is the gradient of a line with angle of inclination of 30°? (Answer in surd form.) Q. 3 Find the gradient of the line passing through the points A and B in each case: (a) A(3,2) and B(5,4) (b) A(~1,2) and B(2,4) (c) A(8,—1) and B(—1,5) (d) A(—3,—1) and B(—1,4) Q. 4 What is the equation of a line: (a) with gradient 4 passing through the point (1, 6)? (b) with an angle of inclination of 60° and a y-intercept of 4? Q. 5 For each pair of points, ﬁnd the equation of the line on which they lie: (a) (0,1) and (3, 5) (b) (—4,3) and (2, ~1) (c) (—2, —2) and (2, 6) Q. 6 Find the equation of the straight line passing through the point (—2, 1) and through the point of intersection of 495— y — 1 = O and 2 x — y + 5 z 0. Q. 7 A, B and C are collinear points and AB 2 BC. HA is the point (4, 5} and B is the point (1, — 1), ﬁnd the coordinates of C. Q. 8 Find the distance between each pair of points: (a) (2, 5) and (6,2) (b) (5, ~41) and (—2, 3) ...
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