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3 years ago

Convert from Standard Form to Slope Intercept Form 3x + 2y = 6

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

y = -3/2x + 3

General Formulas and Concepts:

Algebra I

Equality Properties

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form: 3x + 2y = 6

Step 2: Find slope-intercept form

Subtract 3x on both sides: 2y = 6 - 3x
Divide both sides by 2: y = 3 - 3/2x
Rewrite: y = -3/2x + 3

And we have our final answer!

You might be interested in

5,-30,180,-1,080 what are the two next numbers

Sedbober [7]

Answer: The next two numbers are 6,480, -38,880.

Step-by-step explanation:

The pattern is to multiply each consecutive term by (-6). Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).

A negative number times a negative number is a positive number

(eg: -30 x -6 = 180). Also, (-1,080 x -6 = 6,480.) (6,480 x -6 = 38,880).

Hope this helps.

5 0

3 years ago

Write a system of equations to describe the situation below, solve using elimination.

Sedbober [7]

Answer:

The cost of hardbook is $9 and cost of paperback is $5.

Step-by-step explanation:

Let x be the price for hardback book and y be the price for paperback book.

Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.

We can write the equation as:

$42x + 64y = 698$

He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.

We can write the equation as:

$42x + 58y = 668$

We have to use the elimination method to solve the two equations.

We eliminate x by subtracting the two equations.

$42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9$

Thus, the cost of hardbook is $9 and cost of paperback is $5.

8 0

3 years ago

Angle DEF is an inscribed angle on a circle, and m O 48° O 96° O 132° O 24°

bija089 [108]

∠24°

What is an inscribed angle in a circle?

Inscribed angles are angles whose vertices are on a circle and that intersect an arc on the circle. The measure of an inscribed angle is half of the measure of the intercepted arc and half the measure of the central angle intersecting the same arc.

given that intercepted arc = ∠48°

The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

If the intercepted arc is twice the size of the inscribed angle, then the inscribed angle is half the size of the intercepted arc. So if the intercepted arc is 48 degrees, the inscribed angle is 48 / 2 = 24 degrees.

To learn more about inscribed angle

visit https://brainly.ph/question/10538167

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