Two lines passing through the point (2, 3) intersects each other at an angle of 60^o. If slope of one line is 2, find equation of the other line.

Reduce the following equations into slope - intercept form and find their slopes and the y - intercepts.

y = 0

Reduce the following equations into slope - intercept form and find their slopes and the y - intercepts.

6x + 3y – 5 = 0

Without using distance formula, show that points (– 2, – 1), (4, 0), (3, 3) and (–3, 2) are the vertices of a parallelogram.

Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right-angled triangle.

Find the value of x for which the points (x, – 1), (2, 1) and (4, 5) are collinear.

Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.

If three points (h, 0), (a, b) and (0, k) lie on a line, show that

Find the values of k for which the line (k–3) x – (4 – k²) y + k² –7k + 6 = 0 is

Passing through the origin.

Find the values of k for which the line (k–3) x – (4 – k²) y + k² –7k + 6 = 0 is

Parallel to the y-axis,