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Write the equation of the lines for whic...

Write the equation of the lines for which `tan theta=1/3,` where `theta` is the inclination of the linw with positive x-axis and
(a) y-intercept is 4
(b) x-intercept is 2

Text Solution

Verified by Experts

Here, slopw of the line, `m=1/3`
(a) y-intercept, `c=4`
Now, `y=mx+c`
` impliesy=1/3xx+4`
`implies3y=x+12`
`impliesx-3y+12=0`
(b) x-intercept, `d=2`
Now, `y=m(x-d)`
`impliesy=1/3(x-2)`
`implies3y=x-2`
`impliesx-3y-2=0`
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