Question

Find the inclination θ (in radians and degrees) of the line.

3x - 3y + 1 = 0

Answer 1

Step 1 :

The slope-intercept form of a line equation is .

Inclination and slope :

If a non vertical line has inclination and slope m, then

.

Step 2 :

The equation of a line is .

Write the equation in slope-intercept form.

Compare the line equation with .

The slope is .

If the slope is , then the inclination is

Conversion from radians to degrees :

The angle of inclination is radians or .

Solution :

The angle of inclination is radians or .