For this case we have that by definition, the standard form of a linear equation is given by:
By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:
We have the following point-slope equation of a line:
The slope is:
We find the slope 
of a perpendicular line:
Thus, the equation is of the form:
We have the point through which the line passes:
Thus, the equation is:
We manipulate algebraically:
We add 3 to both sides of the equation:
We multiply by 2 on both sides of the equation:
We subtract 3x on both sides:
We subtract 12 from both sides:
ANswer:
Answer:
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
Step-by-step explanation:
The given equation is:
4x−8=2(2x−3)
We will try to translate the given equation in English.
We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.
From the given option, correct answer is:
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
So that is equal to 180 miles per 2 hours which is 90 miles per hour if each hour has the same m/hr rate.
You can set up a proportion:
let x = number of miles per hour
cross multiply and you get
2x=180
divide both sides by 2 and you get
x=90
so you get the same answer both ways,
90 miles per hour
