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Find the equations of the lines for which $tan\theta=−1$, where $\theta$ is the angle of inclination of the line and y− intercept is $-\frac{1}{2}$.​
Given: $tan\theta=−1$, where $\theta$ is the angle of inclination of the line and y− intercept is $-\frac{1}{2}$.
To do: To write the equation.
Solution:
Slope of the line is $m=tan\theta=−1$
Using slope-intercept form, the equation is $y=mx+c$
$y=−x+\frac{−1}{2}$
​
$\Rightarrow 2y=−2x−1$
$\therefore$ Equation of the line is $2x+2y+1=0$
Updated on: 10-Oct-2022
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