Question

write the equation of the line for which tan =1/2 where thita is the inclination of the line and x intercept is 4​

Answer 1

SOLUTION

TO DETERMINE

The equation of the line for which tan θ = 1/2 where θ is the inclination of the line and x intercept is 4

EVALUATION

We know that the equation of a line is

y = m( x - k)

Where m = slope of the line and k = x - intercept

Here it is given that

tan θ = 1/2 where θ is the inclination of the line

Thus m = tan θ = 1/2

Again k = x - intercept = 4

Hence the required equation of the line is

$\displaystyle \sf{y = \frac{1}{2}(x - 4) }$

$\displaystyle \sf{ \implies \: 2y = (x - 4) }$

$\displaystyle \sf{ \implies \: x - 2y - 4 = 0 }$

FINAL ANSWER

Hence the required equation of the line is

$\boxed{ \: \: \displaystyle \sf{ \: x - 2y - 4 = 0 } \: \: }$

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