Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
Answer:
36.67%
Step-by-step explanation:
To find the percent, divide 165 by 450 (part over whole) and multiply by 100
(165/450) x 100
= 36.67
So, Tracey paid 36.67% of the original price
Find the slope between the 2 points and plug inotllto point slope form
Answer: 18 hours
Step-by-step explanation:
Amy's dad drove the car at a constant speed and travel 585 miles in 13 hours
, using proportion
. Find out how long would it have taken the family to travel 810 miles
. Let x -----> the time in hours to travel 810 miles! Hope this helps! Good luck!
![{ \qquad\qquad\huge\underline{{\sf Answer}}}](https://tex.z-dn.net/?f=%7B%20%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%7D%20)
Let's find the inverse of given function ~
![\qquad \sf \dashrightarrow \: f(x) = 2x - 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20f%28x%29%20%3D%202x%20-%201)
![\qquad \sf \dashrightarrow \: 2x = f(x) + 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%202x%20%3D%20f%28x%29%20%2B%201)
![\qquad \sf \dashrightarrow \: x = \cfrac{f(x) + 1}{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20x%20%3D%20%20%5Ccfrac%7Bf%28x%29%20%2B%201%7D%7B2%7D%20)
[ now, replace f(x) and x with
]
![\qquad \sf \dashrightarrow \: f {}^{ - 1} (x) = \cfrac{x + 1}{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20f%20%7B%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Ccfrac%7Bx%20%2B%201%7D%7B2%7D%20)
That's the required inverse function ~