Answer:
17.2 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
