SOLUTION: Could someone please help me solve the following? Calculate the distance from the point (-1,2) to the line x-4y+1=0

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Question 255730: Could someone please help me solve the following?
Calculate the distance from the point (-1,2) to the line x-4y+1=0
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
point (-1,2) to the line x-4y+1=0
step 1 - write equation as y = mx + b as
(i) Y+=+%281%2F4%29x++%2B+1%2F4
step 2 - identify the slope.
The slope,m, is 1/4
step 3 - find the perpendicular slope. This means the negative flip of the original slope. So,
1/4 - - > -4/1
step 4 - using our new slope find equation of line passing through (-1,2) using y = mx + b. We get
(ii) y+=+mx+%2B+b
(iii) 2+=+%28-4%29%2A%28-1%29+%2B+b
(iv) -2+=+b
new equation is
(v) y+=+-4x+-+2
step 5 - set equation (i) = (v) and solve for x to get
%281%2F4%29x+%2B+1%2F4+=+-4x+-+2
multiply by 4 to get
x+%2B+1+=+-16x+-+8
17x+=+-9
x+=+-9%2F17
step 6 find y. We get Y = 2/17
which is the crossing point at (-9/17, 2/17)
step 7 find distance between (-1,2) and (-9/17, 2/17)
d+=+sqrt%28%28y2-y1%29%5E2+%2B+%28x2-x1%29%5E2%29
d+=+sqrt%28%282%2F17-2%29%5E2+%2B+%28-9%2F17-1%29%5E2%29
d+=+sqrt%283.543+%2B+2.3391%29
d+=+2.425