Question

find the distance between a point and a line using y=2x-6, p(4,1)

Answer 1

Since you know one pair of coordinates from the line (y-intercept: (0,-6)), you can use the distance formula to find the distance between the points\[\sqrt{(x2-x1)^{2}}+ (y2-y1)^{2}\]
Your points are (0,-6) & (4,1)
(4-0)^2+(1--6)^2
4^2+7^2
16+49=65
Now we find the square root of 65

Answer 2

The square root is approximately 8.01\[\approx8.01\]