Identify an equation in point-slope form for the line perpendicular to y = 3x -7 that passes through (-2, -6).

This equation is y = mx + b, where m is the slope.

If y = mx + b is ?// to y = - 3x + 7, that means they have the SAME SLOPE, so

y = - 3x + b. To calculate b, plug in the related value of (2,-4)

- 4 = - 3(2) + b

- 4 = - 6 + b  and b = -4 + 6 = +2

Hence the final equation is y = -3x +2

Step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

step-by-step explanation: