Answer:
y = 3/2x - 5
Step-by-step explanation:
To find the equation of the line
Step 1: find slope
( 2 , -2) ( 4 , 1)
x_1 = 2
y_1 = -2
x_2 = 4
y_2 = 1
Insert the values into
m = (y_2 - y_1) / (x_2 - x_1)
m = ( 1 - (-2) / (4 - 2)
= ( 1 + 2) / ( 4 -2 )
= 3 / 2
m = 3/2
Step 2: substitute m into the equation
y = mx + c
y = 3/2x + c
Step 3: substitute any of the two points into the equation
Let's pick (4 , 1)
x = 4
y = 1
y = 3/2x + c
1 = 3/2(4) + c
1 = 3*4/2 + c
1 = 12/2 + c
1 = 6 + c
1 - 6 = c
c = 1 - 6
c = -5
Step 4 : substitute c into the equation
y = 3/2x + c
y = 3/2x - 5
The equation of the line is
y = 3/2x - 5
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
The Euclid's mug holds the most root beer.
Step-by-step explanation:
Euclid's mug :
Height = 8 inches
Radius = 3 inches
Volume = π(r x r) h
= (3.14) (9) 8
= 226.08 cubic inches
Aristotle's mug:
Height = 18 inches
Diameter = 4 inches
Radius = 2 inches
Volume = (1/3) π(r x r) h
= (1/3) (3.14) (4) 18
= 37.68 cubic inches
The Euclid's mug holds the most root beer.
Answer:
y=x to the second power -8x+12
Step-by-step explanation: