Question

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

x - 2y = 7

6x + 2y = 5

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 1.4289 radians or .

 Solution :

The angle between lines is 1.4289 radians or .