Write an equation that is perpendicular to y = -1/2x + 2/3, passes through (2,3)

Paula Cameron

Paula Cameron

Answered question

2022-11-05

Write an equation that is perpendicular to y = -1/2x + 2/3, passes through (2,3)

Answer & Explanation

ustalovatfog

ustalovatfog

Beginner2022-11-06Added 11 answers

Compare to y=mx+c where m is the gradient (slope)
A straight line graph that is perpendicular to this would have the gradient of - 1 m . So in this case - 1 m = + 2 1 = 2
So we know that the line we are looking for is of form:
y=2x+c
This has 3 unknowns so we need to change it so that there is only 1 unknown and thus solvable.
We are told that it passes through the point (x,y)->(2,3) thus we have some known values. Lets substitute these:
y=2x+c -> 3=2(2)+c
3=4+c
c=−1
So we now have y=2x−1

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