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PLEASE HELP ME ASAPPPP!!!!!!!!!!


TY :)

PLEASE HELP ME ASAPPPP!!!!!!!!!! TY :)-example-1
User Harmlezz
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1 Answer

4 votes

Answer: y = 3x - 10

Step-by-step explanation:

Compare the original equation to the form y = mx+b

  • m = slope
  • b = y intercept

The original line has slope -1/3. The negative reciprocal of this is 3/1 or simply 3. This represents the perpendicular slope. The original and perpendicular slopes multiply to -1.

We'll use this perpendicular slope along with the coordinates of (x,y) = (4,2) in the point-slope equation below. Solve for y.


y - y_1 = m(x - x_1)\\\\y - 2 = 3(x - 4)\\\\y - 2 = 3x - 12\\\\y = 3x - 12+2\\\\y = 3x - 10\\\\

As a check, plugging x = 4 should lead us to y = 2


y = 3x - 10\\\\y = 3(4) - 10\\\\y = 12 - 10\\\\y = 2\\\\

It works out. This confirms (4,2) is on the line y = 3x-10, and helps confirm the answer.

User AntoineG
by
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