Find the equation of a line that goes through point (100,-25) and is perpendicular to y=-25?
2 Answers
Explanation:
#y=-25#
#"is a horizontal line parallel to the x-axis and passing"#
#"through all points in the plane with a y-coordinate "-25#
#"a line perpendicular to it must be a vertical line"#
#"the equation of such a line is "x=c#
#"where c is the value of the x-coordinate the line"#
#"passes through"#
#"here the point is "(color(red)(100),-25)#
#"the equation of the perpendicular line is "x=100#
Explanation:
Recall the standard equation of a line is;
Also recall;
When its perpendicular;
For the first equation;
Coordinate,
Plugging in the value;
Now the new equation of a line is;
Plugging in the values;
Cross multiplying;
Collecting like terms;