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Vaselesa [24]
1 year ago
8

what is the fill in for the diagram drop downs drop down 1: is it a reflexive property, equivalent equation or transitive proper

ty of equality.drop down 2: does it have subtraction property of equality, divison of equality or reflexive property and lastly drop down 3: is it a substitution, equivalent equation or subtraction property of equality

Mathematics
1 answer:
chubhunter [2.5K]1 year ago
8 0
Explanation:

Remember the following properties of real numbers:

Reflexive property:

This property states that a number is always equal to itself.

This property is different from the equivalent equations property. In fact, two equations that have the same solution are called equivalent equations,

Division property of equality:

This property states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.

Substitution property of equality:

This property states that if x = y, then x can be substituted in for y in any equation.

We can conclude that the correct answer is:

Answer:

Drop Down 1: reflexive property

Drop Down 2: division property of equality.

Drop Down 3: substitution

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Answer:

\boxed {\boxed {\sf y= -4x -3}}

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

y-y_1= m(x-x_1)

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

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Substitute the values into the formula.

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y-5 = -4 (x+2)

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

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y-5 =-4x -8 + 5

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