Find the distance from the point (−2, 6) to the line y=x−8. Round your answer to the nearest tenth. The distance is about units.

Step-by-step explanation:

To get the distance from a point to a line, we need to find the x and y intercept of the given line and get the need coordinate.

Given the line y = x-8

when x = 0

y =0-8

y = -8

when y = 0

0 = x-8

-x = -8

x = 8

Hence the solution of the equation is (8, -8)

Next is to find the distance between the point (-2, 6) and (8, -8) using the formula;

d = √(x2-x1)²+(y2-y1)²

d = √(8-(-2))²+(-8-6)²

d = √(10)²+(-14)²

d = √100+196

d = √296

d = 17.2 units

Hence the distance is about 17.2 units