Find the slope of the line through the points (4, –6), (–2, –5).
Slope of the line,
Find the inclination on the line whose slope is .
Determine λ, so that 2 is the slope of the line through (2, 5) and (λ, 3).
Find whether the points (–a, –b), [–(s + 1)a, –(s + 1)b] and [(t – 1)a, (t – 1)b] are collinear?
For what value of k the points (k, 2 – 2k), (–k + 1, 2k) and (–4 – k, 6 – 2k) are collinear?
Find the angle between the lines joining the points (0, 0), (2, 3) and (2, –2), (3, 5).
The angle between two lines is and the slope of one of them is . Find the slope of the other line.
A line passes through the points A(2, –3) and B(6, 3). Find the slopes of the lines which are
1. parallel to AB
2. perpendicular to AB
Find the equation of the straight line parallel to y-axis and at a distance
(i).3 units to the right
(ii). 2 units to the left
Find the equation of the straight line parallel to x-axis and at a distance
(i). 5 units above the x-axis
(ii). 9 units below the x-axis
Find the equation of the straight line which passes through the point (2, –3) and is
1. parallel to the x-axis
2. perpendicular to the x-axis