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Topic: Coordinate geometry Answer the given question.
Coordinate GeometryQ1, (a) The equation of a line is 2y = 5x + 4. Write down the gradient and the y - intercept of the equation(b) A point (b, 2.5) lies on the line 2y = 5x + 4(c) A line is parallel to 2y = 5x + 4. Find the slope of this line(d) Another line is perpendicular to the line 2y = 5x + 4. Find the gradient of the new lineQ2, Two points P (2, 9) and Q (4, 6) lie on a line.(a) Find the slope of the line(b) Find the coordinates of the midpoint of the points P and Q(c) Find the length of the line segment PQQ3. The coordinates of two points A and B are (-1, 10) and (3, 4) respectively.Find(1) The gradient of AB(il) The coordinates of the midpoint of AB(iii) The distance between the points A and BQ4. Find the coordinates of a point where the line 2y = 3x +15 crosses y axis.Q5. P is the point (-2, 1) and Q is the point (3, 7).(a) if M is the midpoint of PQ, find the coordinates of M(b) Find the gradient of the line PQ(c) The line with the equation 2y + 3x +k = 0 passes through the point P.(1) Find k(il) Find the gradient of the line
