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Find the equartion of the line for which...

Find the equartion of the line for which `tan theta=1/2,` where `theta` is the inclination of the line and
(a) x-intercept is -2
(b) y-intercept is `1/2`

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AI Generated Solution

To find the equation of the line for which \(\tan \theta = \frac{1}{2}\), where \(\theta\) is the inclination of the line, we will solve the problem in two parts. ### Part (a): When the x-intercept is -2 1. **Identify the slope**: Since \(\tan \theta = \frac{1}{2}\), the slope \(m\) of the line is: \[ m = \frac{1}{2} \] ...
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