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:
x=5/12
Step-by-step explanation:
Simplify left side by adding 11x+x
12x+5=10
Get x alone on left side by subtracting 5 on both sides
12x=5
Get X alone by dividing both sides by 12
x=5/12
Answer:
A) Check the first two: 2(x+5) and 2(x) + 2(5)
B) Check the last one: 14y + 2
Answer: 360 feet, or 3/44 of a mile
Step-by-step explanation: One yard is 3 feet, and 1760 yards are in a mile
7m+2=7n−5
Swap sides so that all variable terms are on the left hand side.
7n−5=7m+2
Add 5 to both sides.
7n=7m+2+5
Add 2 and 5 to get 7.
7n=7m+7
Divide both sides by 7.
7
7n
=
7
7m+7
Dividing by 7 undoes the multiplication by 7.
n=
7
7m+7
Divide 7+7m by 7.
n=m+1
