Question -
Answer -
Given:
A line which ispassing through (тАУ2, 3), the angle is 45o.
By using the formula,
The equation of lineis [y тАУ y1┬а= m(x тАУ x1)]
Here, angle,┬а╬╕ =45o
The slope of the line,m = tan ╬╕
m = tan 45o
= 1
The line passingthrough (x1, y1) = (тАУ2, 3)
The required equationof line is┬аy тАУ y1┬а= m(x тАУ x1)
Now, substitute thevalues, we get
y тАУ 3 = 1(x тАУ (тАУ 2))
y тАУ 3 = x + 2
x тАУ y + 5 = 0
тИ┤The equation of lineis┬аx тАУ y + 5 = 0