What is the equation of the line that is perpendicular to the line and passes through the point (6, 2)?

Step

Find the slope of the line perpendicular to the given line

we have

the equation of the given line is

we know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

in this problem the slope m1 of the given line is

so

Step

Find the equation of the line with slope m2 and passes through the point

we know that

the equation of the line is

therefore

the answer is the option A

the equation of the line is

see the attached figure to better understand the problem

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2