Straight Lines

What is the slope of the line passing through points A(2, 3) and B(5, 11)?

Find the equation of the line passing through (1,2) and having slope 3.

If two lines have slopes m1 and m2 such that m1 × m2 = -1, what can be said about the lines?

Find the distance of the point P(4, 5) from the line 3x - 4y + 10 = 0.

Find the equation of the line perpendicular to 2x - 3y + 5 = 0 and passing through (1, -2).

The line passing through points (2, k) and (k, 3) has slope 1. Find k.

Find the point on the x-axis which is equidistant from points A(2, -3) and B(-4, 1).

If the line 3x + 4y = 12 is translated 5 units parallel to itself, what is the equation of the new line?

Find the angle between the lines y = 2x + 3 and y = -½ x + 1.

Find the coordinates of the point of intersection of the lines 2x + 3y = 6 and 4x - y = 5.