SOLUTION: determine the equation of a line containing the point -1,3 that is perpendicular to the points -2,1 And 8,4.

Algebra ->  Linear-equations -> SOLUTION: determine the equation of a line containing the point -1,3 that is perpendicular to the points -2,1 And 8,4.      Log On


   

Question 1023303: determine the equation of a line containing the point -1,3 that is perpendicular to the points -2,1 And 8,4.
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Line perpendicular to points makes no sense. Maybe say this instead:

Determine the equation of a line containing the point (-1,3) that is perpendicular to THE LINE CONTAINING the points (-2,1) And (8,4).


Start with the point-slope equation form and the formula for slope.
The two points given will have a slope %284-1%29%2F%288-%28-2%29%29=3%2F10.

The equation you want containing the first given point will take a form y-3=m%28x-%28-1%29%29
y-3=m%28x%2B1%29

The needed slope m, for being perpendicular to the line with the other two points must be -%2810%2F3%29.

Put this into the equation.
highlight%28y-3=-%2810%2F3%29%28x%2B1%29%29.
Do whatever you need or want with the form.