Figure x maps to figure 12 with

a scale factor of 2/7

Step-If 12 inches equals 3 inches, what is the scale factor ?

12 and 3 are divisible by 3

12 ÷ 3 = 4

3 ÷ 3 = 1

12:3 ratio simplified is 4:1

so the scale factor of 12 inches to 3 inches is 4:1

If 1/4 inches equals 2 feet, what is the scale factor ?

1⁄4 in = 1 ÷ 4 = 0.25 in

2 ft = 12 × 2 = 24 in

1 ÷ 0.25 = 4

24 × 4 = 96

0.25:24 ratio simplified is 1:96

so the scale factor of 1⁄4 inches to 2 feet is 1:96

If you want to know what is the length under conversion at different scales, try this scale length conversion tool, it helps us calculate the length quickly.

by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c