Answer:
The answer to your question is y = 4/3x + 1/3
Step-by-step explanation:
Data
Point A = (2, 3)
Point B = (5, 7)
Process
1.- Calculate the slope
x1 = 2 y1 = 3
x2 = 5 y2 = 7
m = (y2 - y1)/(x2 - x1)
- Substitution
m = (7 - 3)/(5 - 2)
- Slope
m = 4/3
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 4/3(x - 2)
y - 3 = 4/3x - 8/3
y = 4/3x - 8/3 + 3
y = 4/3x - 8/3 + 9/3
y = 4/3x + 1/3
Yes because 1500/60 = 25 which is the number of words per minute. He has 5 minutes to text so 25 x 5 = 125. In 5 minutes he can type 125 words
Answer:
k^2/25
Step-by-step explanation:
(1/5k)^2
(k/5)^2
k^2/5^2
k^2/25
Answer:
y = 6x + 22
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 14)
Point (-1, 16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: 16 = 6(-1) + b
- Multiply: 16 = -6 + b
- Isolate <em>b</em>: 22 = b
- Rewrite: b = 22
<u>Step 4: Write linear equation</u>
y = 6x + 22
The value of x is 5, if a, b, and c are collinear points.
According to the given question.
a, b, and c are collinear points.
Which means points a, b, and c both lie in a same line.
b is between a nd c .
Also, ab = 12
bc = 5x - 2
and ac = 3x + 20
Since, b lies in between a and c
Therefore,
ab + bc = ac
12 + 5x - 2 = 3x + 20
⇒ 10 + 5x = 3x + 20
⇒ 5x - 3x = 20 - 10
⇒ 2x = 10
⇒ x = 10/ 2
⇒ x = 5
Therefore, the value of x is 5.
Find out more information about collinear points here:
brainly.com/question/5191807
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