Question

CONNECTIONS PRECAL HELP PLEASE!

1.) Find the distance between the lines with equations 5x + 12y=12 and y=-5/12x +3

2.)Find an equation of the line that bisects the acute angles formed by the lines with equations 2x+y-5=0 and 3x-2y+6=0

3.) Find an equation of the line that bisects the acute angles formed by the lines with equations 4x+y+3=0 and x+y-2=0

I'll give medals!

Answer 1

Question 1

find a point on the 2nd line..... you can use the y-intercept.

and using the 1st line...

then you can use the formula for perpendicular distance from a point to a line

\[d = \frac{|Ax + By + C|}{\sqrt{A^2 + B^2}}\]