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

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) (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)
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)
(iii)
(iv)
new equation is
(v)
step 5 - set equation (i) = (v) and solve for x to get

multiply by 4 to get

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)

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