Write an equation of a line passing through (0, 4), perpendicular to y=x

Buszmenan

Buszmenan

Answered question

2022-10-09

Write an equation of a line passing through (0, 4), perpendicular to y=x

Answer & Explanation

recepiamsb

recepiamsb

Beginner2022-10-10Added 9 answers

We have been given one point (0,4) and (indirectly) the slope.
It lines are perpendicular, then one slope is the negative reciprocal of the other.
In y=x, it is actually y=+1x so the slope, m=1
The slope perpendicular to this will be m=−1
The point we have been given is a specific point:
It is the y-intercept, c=4, so we have everything we need to write the equation of the line in the form y=mc+c
y=−x+4

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