Answer: Hope this explains everything for you!
y= -2x+3
Step-by-step explanation:
y= 2x-1 is wrong
First, we will start by identifying the y-int, the y-int is when x is zero. The y-int is 3 since when x is 0, y is 3, (0,3).
y= 2x+3 (So that means -1 is actually 3)
Plus even if your slope is 2, since from the 2 points you go up 2 and run by 1, if you're not going to calculate it with 2 points, you need to see if its uphill, downhill, etc. (More info in the image below) The slope is actually negative meaning it is -2.
So the equation of the line is actually y= -2x+3
Answer:
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By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression 
is equivalent to the <em>trigonometric</em> expression 
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression is equal to the <em>trigonometric</em> expression . Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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The algebraic expression for the given word problem is 12/y + 7
<h3>Writing an expression</h3>
From the question, we are to write the algebraic expression for the given word problem
The given word problem is
"the quotient of 12 and a number y increased by 7"
First,
"the quotient of 12 and a number y" can be expressed as
12/y
Then,
"the quotient of 12 and a number y increased by 7" becomes
12/y + 7
Hence, the algebraic expression for the given word problem is 12/y + 7
Learn more on Writing an expression here: brainly.com/question/4541471
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The cost of the gasoline in US dollars is $53.24.
<h3 /><h3>Definition of exchange rate</h3>
Exchange rate is the rate at which one currency is exchanged for another currency. In this question, $1 would be exchanged for 1.26 Canadian dollars.
<h3>Conversion of 15 gallons to liters</h3>
In order to convert 15 gallons to liters, multiply 15 by 3.79
15 x 3.79 = 56.85 liters
<h3>Total cost of of 56.85 liters in Canadian dollars </h3>
56.85 liters x C$1.18 = C$67.083
<h3>Total cost in US dollars</h3>
C$67.083 / 1.26 = $53.24
To learn more about exchange rate, please check: brainly.com/question/25780725
