What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?

y = –three-fourthsx + 8

y = –three-fourthsx + 6

y = four-thirdsx – 8

y = four-thirdsx – 6

Option 3 is correct

Step-by-step explanation:

To find: The equation of perpendicular to given line and has x-intercept 6

x-intercept is on x-axis where y value is 0.

Therefore, x-intercept: (6,0)

Now we will check each point for each option.

Option 1:

Put x=6, y=0

False

Option 2:

Put x=6, y=0

False

Option 3:

Put x=6, y=0

True

Option 1:

Put x=6, y=0

False

Hence, The perpendicular equation is