Answer:
2.2 to the nearest tenth.
Explanation:
The line y = 12x + 1
has a slope of 12 so the perpendicular line joining the point (-2, 3) to
y = 12x + 1 will have a slope of -1/12.
The equation of this line is
y - 3 = -1/12(x + 2)
that is:
y = -1/12x + 17/6
Equating the equations of the 2 lines will give us where they intersect:
12x + 1 = -1/12x + 17/6 Multiply through be 12:
144x + 12 = -x + 34
145x = 22
x = 22/145
= 0.1517
So y = 12(0.1517) + 1
= 2.8207.
So the distance between the points (0.1517, 2.8207) and (-2, 3)
= √[(3-2.8207)^2 + (-2-0.1517)^2]
= 2.1592