Write the equation of a line perpendicular to the line: y=−xy=−x that goes through the point (1, -2). Write your answer in slope-intercept form, using simplified fractions for the slope and intercept

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Write the equation of a line perpendicular to the line:   y=−xy=−x   that goes through the point (1, -2).   Write your answer in slope-intercept form, using simplified fractions for the slope and intercept

Lounctirough · Accepted Answer

Step 1   Compare the equation of line y=−x with the slope intercept form of equation of line y=mx+c   where m is slope of line.   Slope of line y=−x is   m1=−1  Let the slope of required line be m.   Since  the lines are perpendicular, therefore  mm1=−1  m(−1)=−1  m=1  Step 2  Now, use point slope form of equation of line to find the equation of line passing through (1,-2) and having slope m=1  y−y1=m(x−x1)  y−(−2)=1(x−1)  y+2=x−1  y=x−3  Step 3  Ans: Equation of line is  y=x−3

Write the equation of a line perpendicular to the line: y=-xy=

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