Find an equation of the line satisfying the given conditions. write the equation in standard form.
3) horizontal; through (3,6)
a) x=6
b) y = 6
c) x=3
d) y=3

Option B

Equation of line is y = 6

Solution:

Given that,

Horizontal ; through (3, 6)

We have to find the equation of line

A horizontal line has a slope of zero

Equation of Horizontal Line takes the form of y = k

where k is the y-intercept of the line

Here the line passes through (3, 6) So the y - co-ordinate is 6

Thus k = 6

Therefore equation of line is:

y = k

y = 6

So option B is correct

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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