Linear Functions, Determining The Equation Given Parallel and Perpendicular Lines
Determine the Linear Equation for each of the following situations. Write your answer in Slope-Intercept Form.
Give the equation of the line passing through the point (5,18)\displaystyle {\left({5},-{18}\right)} that is parallel to y=3x+8\displaystyle {y}=-{3}{x}+{8}.
 
Give the equation of the line passing through the point (7,19)\displaystyle {\left(-{7},-{19}\right)} that is parallel to y=2x+9\displaystyle {y}={2}{x}+{9}.
 
Give the equation of the line passing through the point (24,2)\displaystyle {\left({24},-{2}\right)} that is perpendicular to y=6x\displaystyle {y}=-{6}{x}.
 
Give the equation of the line passing through the point (6,6)\displaystyle {\left({6},-{6}\right)} that is perpendicular to y=34x+4\displaystyle {y}=\frac{{3}}{{4}}{x}+{4}.
 
Give the equation of the line passing through the point (2,4)\displaystyle {\left(-{2},-{4}\right)} that is parallel to y=8\displaystyle {y}=-{8}.