Answer:
r = -
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r = ← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 = ( multiply both sides by - 6 )
12 = k, thus
r = ← equation of variation
when t = - 7, then
r = = -
Answer:
y = -4x -6
Step-by-step explanation:
The given segment has a rise if 1 for a run of 4, so a slope of ...
m = rise/run = 1/4
The desired perpendicular has a slope that is the negative reciprocal of this:
m = -1/(1/4) = -4
A point that has a rise of -4 for a run of 1 from the given midpoint is ...
(-1, -2) +(1, -4) = (0, -6) . . . . . . . the y-intercept of the bisector
So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...
y = mx +b
y = -4x -6
