Question

Find the angle θ (in radians and degrees) between the lines.

3x + y = 3

x - y = 2

Answer 1

Step 1 :

The slope-intercept form of a line equation is .

Angle between two lines :

If two non perpendicular lines have slopes and , the angle between the two lines is

Step 2 :

Line 1 :

Write the equation in slope-intercept form.

Compare the line equation with .

The slope is

Line 2 :

Write the equation in slope-intercept form.

Compare the line equation with .

The slope is

Step 3 :

The angle between the two lines is

Substitute and in above equation.

Conversion from degrees to radians :

Since radians.

The angle between lines is 1.1071 radians or .

 Solution :

The angle between lines is 1.1071 radians or .