Consider a line that makes an angle of with the positive -axis.

MATHEMATICS · Multi-part · AoPS · Mathematics · Lines Graphing · Lines Graphing

Problem

Consider a line that makes an angle of 135∘135^{\circ} with the positive xx-axis. (i) Calculate the slope of the line. (ii) Find the equation of the line passing through the point (2,−1)(2,-1) and having the same slope obtained in part (i). (iii) Determine, with justification, whether the line found in part (ii) is parallel, perpendicular or neither to the line 4y+4x−7=04y+4x-7=0.

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