point of intersection is (_, **_**)

angle of intersection is **_** degrees (round-off to 2 decimal places)

Point of intersection is when 5x-2=3x+6, 2x=8, x=4, so y=5x-2=18=3x+6. The point is (4,18).

The angle between them θ is given by the triangle rule that the external angle of a triangle is the sum of the two opposite interior angles, so arctan(5)=θ+arctan(3) where 5 and 3 are the slopes of the two lines.

So θ=arctan(5)-arctan(3)=7.12° approx. (The difference between 78.69° and 71.565°)

- All categories
- Pre-Algebra Answers 12,298
- Algebra 1 Answers 25,207
- Algebra 2 Answers 10,418
- Geometry Answers 5,148
- Trigonometry Answers 2,634
- Calculus Answers 5,990
- Statistics Answers 3,013
- Word Problem Answers 10,021
- Other Math Topics 6,546

81,275 questions

85,405 answers

2,164 comments

68,894 users