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 (−7,16)\displaystyle {\left(-{7},{16}\right)} that is parallel to y=−x−8\displaystyle {y}=-{x}-{8}.
 
Give the equation of the line passing through the point (1,7)\displaystyle {\left({1},{7}\right)} that is parallel to y=5x−6\displaystyle {y}={5}{x}-{6}.
 
Give the equation of the line passing through the point (35,11)\displaystyle {\left({35},{11}\right)} that is perpendicular to y=−7x\displaystyle {y}=-{7}{x}.
 
Give the equation of the line passing through the point (15,−14)\displaystyle {\left({15},-{14}\right)} that is perpendicular to y=56x+7\displaystyle {y}=\frac{{5}}{{6}}{x}+{7}.
 
Give the equation of the line passing through the point (−9,−4)\displaystyle {\left(-{9},-{4}\right)} that is parallel to y=8\displaystyle {y}={8}.
 

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