Reduce the following equation into slope intercept form and find their slopes and the y-intercepts y=0.

2

(a)

A line passes through the points A(4,-6) and B(-2,-5). Show that the line AB makes an obtuse angle with the X-axis.

2

(a)

Find the equation of the straight line which bisects the distance between the points A(a, b), B(a^', b^') and also bisects the distance between the point C (- a, b) and D(a^', - b^').

2

(a)

Find the values of \(\theta \)  and p, if the equation xcos \(\theta \) +ysin \(\theta \) =p is the normal form of the line \(​​\sqrt { 3x } \)+y+2=0

2

(a)

If the angle between two lines is \(\pi\over 4\) and slope of one of the lines is 2. Find slope of another line.

2

(a)

What is the value of x so that the line through (3, x) and (2, 7) is parallel to the line through (-1, 4) and (0, 6).

2

(a)

Find the equation of a straight line which cuts off an intercept of 3 units on negative direction of y-axis and makes an angle of 120° with the positive direction of x-axis.

2

(a)

In what ratio does the line joining the points (2, 3) and (4, 1) divide the segment joining the points (1, 2) and (4, 3)?

2

(a)

Find the equations of the medians of a triangle, the coordinates of whose vertices are (-1, 6), (-3, -9) and (5, -8).

2

(a)

If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m.

2

(a)

Find the slope of the line which makes an angle of 60° with the line 2x - y + 7 = 0.

2

(a)

Find the transformed equal to x ²+2x - 2y²+2 = 0 when the orgin is shifted to (-3, 2).

2

(a)

Find the new coordinates of a point (-3, 4) when the origin is shifted to(-1,2). 

2

(a)

Find the equation of a straight line perpendicular to the line joining the points (1, -3) and (2, 1) and cutting off intercept - 4 from the x-axis.

2

(a)

Find the perpendicular distance of the point of intersection of the lines 2x + 3y - 7 = 0, 3x + 4y - 10 = 0 from the line 2x - 4y + 10 = 0.

2

(a)