SOLUTION: (0,2); 2x+9y=7 write the equation of the line containing the given points and perpendicular to the given line. y=mx+b format

Algebra ->  Linear-equations -> SOLUTION: (0,2); 2x+9y=7 write the equation of the line containing the given points and perpendicular to the given line. y=mx+b format      Log On


   



Question 334032: (0,2); 2x+9y=7 write the equation of the line containing the given points and perpendicular to the given line. y=mx+b format
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(0,2);
2x+9y=7
add-2x to both sides
2x-2x+9y=-2x-7
9y=-2x-7
divide by 9
y= -2/9x -7/9
..
slope = -2/9
..
the slope of a lin perpendicular to this line will be 9/2
..
y = mx +b
(0,2)
plug the value of x,y to get b
2= 0+b
b=2
y= 9/2 *x +2 is the line
..
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%28-2%2F9%29x-7%2F9%2C%289%2F2%29%2Ax%2B2%29