17. with the line x - 3y - 2 = 0.
Find the equation of lines passing through the point (1,-4) and making an angle of 135º

The equation of the line passing through the point (1,-4) and making an angle of 135º will be:

Step-by-step explanation:

Given the point (1, -4)

Given that the line makes an angle of 135º.

so

Slope = m = tan 135º = -1

Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -1 and the point (1,-4)

subtract 4 from both sides

simplify

Therefore, the equation of the line passing through the point (1,-4) and making an angle of 135º will be:

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation:

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