Activity 1: rewrite me!

1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (__) + 3y = 12+(-2x)
()3y=(-2x+12)()

y= - ⅔x +4

Given:

Simplified as y= mx+ b

2.write the linear equation y= -2x -1 into Ax + By = C.

solution
y = -2x-1
y +() = - 2x + (_) - 1

2x + y = -1

Given:

Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?

2. how did you write Ax + By = C?

3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?

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Respuesta :

Adetunmbiadekunle Adetunmbiadekunle · Answer 1 · 2021-10-27T10:38:19+02:00

1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]

2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x + y = -1

The point-slope form of the equation of a line is y = mx + b

where m represents the slope

b represents the y-intercept

The given equation is:

2x + 3y = 12 (Given)

Subtract 2x from both sides

2x + (-2x) + 3y = 12 + (-2x)

3y = 12 - 2x (Equality property of addition)

3y = -2x + 12 (Commutative property of addition)

Divide both sides by 3

[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)

2) Write the linear y = -2x - 1 into Ax + By = C

y = -2x - 1 (Given)

Add 2x to both sides

y + 2x = -2x + 2x - 1 (Equality property of addition)

y + 2x = -1

2x + y = -1 (Commutative property of addition)

Learn more here: https://brainly.com/question/19573990