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
Answer:
The last one 
.
Step-by-step explanation:
1) There are three trigonometric ratios for right-angled triangles.
In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.
2) In this case, we are given a length and an angle to find x and y.
Let's find x first. To find x we need to use 
.
Find y.
Notice that, we can use the Pythagorean Theorem 
to find y.
3) Round them off to the nearest tenth.
Therefore, the correct choice is the last one .
Complete Question
Marcus is 5 5/24 feet tall. Ben is 5 5/16 feet tall. Which of the two boys is taller? Give your answer and complete the justification using decimal representations of the mixed numbers. Round decimal entries to four decimal places. (select) is taller because > .
Answer:
Of the two boys, Ben is taller
Step-by-step explanation:
For Marcus
Converting to decimal
5 5/24 feet tall = 5.2083 feet tall
For Ben
5 5/16 feet tall = 5.3125 feet tall
Hence, Of the two boys, Ben is taller
Answer:
The answer is no, she does not have enough pieces. She has 18 equal pieces.
Step-by-step explanation: You know if she has enough pieces by taking each piece and dividing it by six, because Lupita cuts each piece into 3 more pieces two times, giving her 18 pieces.
Answer:
7/3
Step-by-step explanation:
