Angle Between Two Straight Lines

Condition for Parallel Lines
Condition for perpendicular Lines
Position of a point with respect to a straight line
Distance Formulas
Family of lines
One parameter families
Two parameters families
The family of equation of straight lines through the point of intersection of the two givenlines

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Show that the lines are 3x + 2y + 9 = 0 and 12x + 8y − 15 = 0 are parallel lines

Find the distance between the line 4x + 3y + 4 = 0, and a point (7, −3)

Find the equation of the straight line parallel to 5x − 4y + 3 = 0 and having x-intercept 3

Find the distance between the line 4x + 3y + 4 = 0, and a point (−2, 4)

Write the equation of the lines through the point (1, −1) parallel to x + 3y − 4 = 0

Write the equation of the lines through the point (1, −1) perpendicular to 3x + 4y = 6

If (−4, 7) is one vertex of a rhombus and if the equation of one diagonal is 5x − y + 7 = 0, then find the equation of another diagonal

Find the equation of the lines passing through the point of intersection lines 4x − y + 3 = 0 and 5x + 2y + 7 = 0, and through the point (−1, 2)