SOLUTION: Given a line with equation 4x + y = 2. Write an equation in point-slope form of the line perpendicular to the given line through the point (2, -1).

Algebra ->  Linear-equations -> SOLUTION: Given a line with equation 4x + y = 2. Write an equation in point-slope form of the line perpendicular to the given line through the point (2, -1).       Log On


   

Question 1125447: Given a line with equation 4x + y = 2. Write an equation in point-slope form of the line perpendicular to the given line through the point (2, -1).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
slope of given line, -4
slope of wanted line, 1%2F4

HOW?

4x%2By=-2-------the given line;
y=-4x-2
y=highlight_green%28-4%29x-2-----in slope-intercept form, showing the slope of given line

Question asks about the line perpendicular to the given line, so the slope wanted for the PERPENDICULAR line must be highlight_green%281%2F4%29.


y%2B1=%281%2F4%29%28x-2%29---------the line wanted, using the point-slope equation form.