to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is 
Answer: 154.4 Fahrenheit
Step-by-step explanation: 68°C = ( 68× 9 / 5 + 32 ) = 154.4°F
Answer:
27
Question:
Find 
so that 
is a solution to 
.
Step-by-step explanation:
So we are asked to replace 
with -14 and solve for in the equation:
.
with 
:
Add 42 on both sides:
Divide both sides by 2:
.
So the -coordinate that corresponding to is 
.
Verify that:
is a point satisfying .
Replace with 27 and with -14:
is true so our work must be right.
Answer:
54693.47836
Step-by-step explanation:
Order of operations PEMDAS
Do the multiplication and division first - each separately
Then add and subtract the answer you get to get the final answer.
Answer:
y+8 = 1/5(x+4)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y- -8 = 1/5(x - -4)
y+8 = 1/5(x+4)
