Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5
1 answer:
Answer:
Option B) y=4/5x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have that
case A) y=x+4/5
The line does not passes through the origin, is not a proportional relationship
case B) y=(4/5)x
The line passes through the origin ---->represents a proportional relationship
The slope m is equal to the constant of proportionality k
The slope m=4/5
therefore
The line y=4/5x
Represents a proportional relationship that has a constant of proportionality equal to 4/5
case C) xy=4/5
Represent an inverse variation is not a proportional relationship
case D) x+y=(4/5)
The line does not passes through the origin, is not a proportional relationship
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Answer:
-n← 2 2/3
Step-by-step explanation:
first combine like terms, and then simplify
<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,
<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal
Multiply both sides by 3
<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3