Q4 of 112 Page 163

Find the equation of the line intersecting the y- axis at a distance of 3 units above the origin and tan , where θ is the angle of inclination.

Given


Angle of inclination = tan θ = 1/2 = slope of the line (m)


Also, the y intercept = 3 units (c) as the line is intersecting y axis at a distance of 3 units above origin


The equation of the straight line with the given slope (m) and y –intercept ‘c’ is given the slope–intercept form


i.e. y = mx + c



⇒ 2y = x + 6


⇒ x – 2y + 6 = 0


x – 2y + 6 = 0


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