The slope, y-intercept and the equation of the following graph are as follows:
1(a)
slope : 1
y-intercept: 2
Equation: y = x + 2
(b)
slope : - 1 / 3
y-intercept: - 1
Equation: y = - 1 / 3x - 1
2.
(a)
slope : 3 / 4
y-intercept: 5 / 4
Equation: y = 3 / 4 x + 5 / 4
(b)
slope : - 3 / 2
y-intercept: 1 / 2
Equation: y = - 3 / 2 x + 1 / 2
<h3 />
<h3>Slope intercept equation</h3>
where
m = slope
b = y-intercept
Therefore lets find the slope, y-intercept and equation of the following graph.
1.
(a)
(0, 2)(1, 3)
m = 3 - 2 / 1 - 0 = 1
b = 2
y = x + 2
(b)
(0, -1)(-3, 0)
m = 0 + 1 / -3 - 0 = - 1 / 3
b = -1
y = - 1 / 3x - 1
2.
(a)
(1, 2)(-3, -1)
m = -1 - 2 / -3 - 1 = 3 / 4
2 = 3 / 4 (1) + b
b = 2 - 3 / 4 = 5 / 4
y = 3 / 4 x + 5 / 4
3.
(b)
(-3, 5)(1, -1)
m = - 1 - 5 / 1 + 3 = - 6 / 4 = - 3 / 2
-1 = - 3 /2 (1) + b
b = -1 + 3 / 2 = 1 /2
y = - 3 / 2 x + 1 / 2
learn more on y-intercept here: brainly.com/question/2833377?referrer=searchResults
The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.
<h3>Volume of a cylinder</h3>
volume = πr²h
where
Therefore,
volume = 500π cm³
r = 5 cm
Therefore,
volume of the cylinder = πr²h
500π = 5²πh
500π = 25πh
divide both sides by 25π
500π / 25π = 25πh / 25π
h = 20 cm
learn more on cylinder here: brainly.com/question/11083770
Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.
See picture:
Answer:
The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
Step-by-step explanation:
Length of small cube =
Volume of each cube = Side^3
Volume of each cube =
=
Volume of 64 cubes = 
Volume of 64 cubes 
We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.
So, Volume of 64 cubes = Volume of rectangular prism
So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
Answer: all the rational numbers are greater than 1 1/2
Step-by-step explanation:
