Question

A line passes through (6, -4) and makes an angle of 135º with the x-axis. Find the equation of the line.


please help to answer this in step by step explanations​

Answer 1

Given :-

• Line passing through = ( 6, -4 ) .
• Angle with x - axis = 135° .

To Find :-

• Equation of the line = ? .

Solution :-

∓ Here, we will find Equation of the line .

• Slope, m = tan 135° = -1 .

∴ Equation of the line will be :-

$:\dashrightarrow \: \sf{y - y_1} = m(x - x_1) \\ \\ : \dashrightarrow \: \sf{y - 6 = - 1(x - 4)} \\ \\ : \dashrightarrow \: \sf{y - 6 = -1x + 4} \\ \\ : \dashrightarrow \: \sf\red{x + y - 10 = 0}$

Hence :-

• Equation of line = x + y - 10 = 0

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