18 = 10 + 2k
move 10 to the other side
sign changes from +10 to -10
18-10=10-10+2k
18-10= 2k
8= 2k
divide by 2 to get k by itself
8/2= 2k/2
Cross out 2 and 2 , divide by 2 and then becomes 1*1*k= k
k=8/2
Answer: k= 4
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)
Order the list from least to greatest:
-12, -9, 0, 8, 15, 16, 17
subtract the least from the greatest: 17 - (-12)
17 + 12 = 29
The range is 29
hope this helps
