Answer:
y = -2x + 8
Step-by-step explanation:
The point slope form of an equation is written as
y = mx + c ...............(i)
Where m is the slope and c is the constant
Now we Know that the equation is
y + 2 = -2(x-5)
and the given points are
m= -2
x = 5
and y= -2
Putting these values in equation (i) to find the value of c
y = mx + c
it becomes
-2 = -2(5) + c
-2 = -10 + c
Adding 10 on both sides
-2 + 10 = -10 + 10 + c
8 = c
or c=8
Now we have the values of m and c
where m= -2 and c = 8
Point slope form of an equation is
y = mx + c
putting the values of m and c to get equation in slope intercept form is
y = (-2)x + 8
or
y = -2x + 8
Other method:
The given point slope form is
y + 2 = -2(x-5)
We have to change it in y= mx + c form
so solving it
y + 2 = -2x + 10
Subtracting 2 from both sides
y + 2 -2 = -2x + 10 -2
y = -2x + 8
which is same is
y=mx + c
so the required equation is
y = -2x + 8
Answer:
It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.
Step-by-step explanation:
4800 ÷ 20 = 240 sq ft per team member in 36 minutes
240 ÷ 36 = 6.67 sq ft per team member in 1 minute
6.67 × 9 = 60 sq ft per 9 team members in 1 minute
4200 ÷ 60 = 70 minutes (or 1 hour and 10 minutes)
(1/2,3)(2,3/4)
slope = (3/4 - 3) / (2 - 1/2) = (3/4 - 12/4) / (4/2 - 1/2) =
(-9/4) / (3/2) = -9/4 * 2/3 = -18/12 = -3/2
Answer:
2
sec
(θ
) − 2
tan
(
θ
)
Step-by-step explanation:
