Various Forms Of The Equation Of A Line

We are given that the intercepts of the line are 3 and 4. The equation of the line in the intercept form is: The distance of a line from the origin is given by the formula: In this case, we rewrite the line in the general form as: Thus, . Using the formula for distance: Thus, the correct answer is units.

We are given two pairs of lines represented by the equations: These equations represent two pairs of straight lines, and we are told that one pair represents the bisector of the angles between the other pair. Step 1: Use the condition for the angle bisector For the two lines to be angle bisectors, the product of the slopes and must be equal to . Thus, we have the condition: Thus, the correct answer is .