There is a picture that is x=-9 and point as (13,12). The equation of the line is y=-x+25.
Given that,
There is a picture that is x=-9 and point as (13,12)
We have to find the equation of the line perpendicular to given line and passing through the given point.
We have line as,
x=-9
The line equation is
y=mx+b
We can write the equation as,
0y=x+9
So, the m value is 1.
Understanding that perpendicular lines have opposite and reciprocal slopes can help you solve the equation of the line. Due to the fact that it begins at 1, we flip it to become negative, and the new slope is -1. Now, using slope intercept form, we can obtain the y intercept using that and the point.
Now,
y=mx+b
13=(-1)(12)+b
13=-12+b
13+12=b
b=25
Now, We have new slope and new intercept.
The equation of the line is y=-x+25.
Therefore, The equation of the line is y=-x+25.
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