SOLUTION: 1-Find the slope of the line perpendicular to a line whose slope is -2/3. 2-Find the slope of a line perpendicular to the line whose equation is 3y+2x=6. 3-Find the equation of t

Algebra ->  Linear-equations -> SOLUTION: 1-Find the slope of the line perpendicular to a line whose slope is -2/3. 2-Find the slope of a line perpendicular to the line whose equation is 3y+2x=6. 3-Find the equation of t      Log On


   



Question 1061729: 1-Find the slope of the line perpendicular to a line whose slope is -2/3.
2-Find the slope of a line perpendicular to the line whose equation is 3y+2x=6.
3-Find the equation of the perpendicular to the line whose equation is 2y-4x=7 and whose y-intercept is+5.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of perpendicular lines is the negative reciprocal. Invert the fraction and change the sign: 3/2.
The slope of the line which is 3y=-2x+6 or y=(-2/3)x+2 is -2/3. the answer is the same as the first, 3/2.
Once you have the perpendicular line and the slope, you have the equation.
2y=4x+7
y=2x+(7/2)
The slope is 2
the perpendicular line has slope -1/2.
the equation of the line is y=-1/2x +5.