Find the slopes of lines with inclinations (i) 45°, (ii) 30°,(iii) 90°.

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Solution

(i) Inclination of the line is 45 $°$ .
∴ Slope = tan $θ$ = tan 45 $°$ = 1

(ii) Inclination of the line is 30 $°$ .
∴ Slope = tan $θ$ = tan 30 $°$ = $\frac{1}{\sqrt{3}}$

(iii) Inclination of the line is 90 $°$ .
∴ Slope = tan $θ$ = tan 90 $°$ (value of tan 90 $°$ is not defined)
∴ The slope of the line with inclination 90 $°$ is not defined.

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