Write an equation for the perpendicular line in slope intercept form (-3,7); y=1/3x-3

y = -3x - 2

Step-by-step explanation:

y=The given line is y = (1/3)x-3.  The slope of a line perpendicular to this one is the negative reciprocal of (1/3), which is -3.

Use the point-slope form of the equation of a straight line, taking the given point (h,k) to be (-3,7):

y - k = m(x - h).  Fill in the given info:

y - 7 = -3(x + 3), or y = -3x - 9 + 7.

Simplifying, we get y = -3x - 2.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x