Answer:
Part a) The slope is
Part b) The equation in point slope form is
Part c) The equation in slope-intercept form is 
Step-by-step explanation:
we have the points (3,4) and (-3,6)
Part a) What is the slope of the line?
The formula to calculate the slope between two points is equal to
substitute the given points
Part b) Write the equation of the line in point-slope form

we have

substitute
---> equation in point slope form
Part c) Write the equation of the line in slope-intercept form

we have

Isolate the variable y
distribute right side

Adds 4 both sides

---> equation in slope intercept form
Answer:
m= -1
Step-by-step explanation:
Order summands
2
Apply negation to the value inside parentheses
3
Add the numbers
4
Add
mm
to both sides of the equation
5
Simplify
Answer:
-36 • (22u + 1)
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-74u - 5 = -1 • (74u + 5)
Equation at the end of step 2 :
(6 • (58u + 1)) - -6 • (74u + 5)
Step 3 :
Equation at the end of step 3 :
6 • (58u + 1) - -6 • (74u + 5)
Step 4 :
Pulling out like terms :
4.1 Pull out 6
Note that -6 =(-1)• 6
After pulling out, we are left with :
6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-132u - 6 = -6 • (22u + 1)
Final result :
-36 • (22u + 1)
Answer:
Speed of the slower plane = 320 mph
Speed of the faster plane = 450 mph
Step-by-step explanation:
Let the speed of the slower plane = x mph
And the speed of the faster plane = y mph
Difference in their speeds = 130 mph
y - x = 130 --------(1)
Formula for the distance traveled = Speed × time
Distance traveled by the faster plane in 5 hours = 5y miles
Distance traveled by the slower plane in 5 hours = 5x miles
Total distance traveled by both the planes in 5 hours = 5(x + y) miles
5(x + y) = 3850
x + y = 770 ---------(2)
By adding equations (1) and (2)
2y = 900
y = 450 mph
From equation (2)
x = 770 - 450
x = 320 mph
Answer: smaller x = -4/3
larger x = -1
Step-by-step explanation: