Question

asked Oct 1, 2023 116k views

1 Answer

Daro · Answer 1 · 2023-10-07T15:42:20+0000

Question:

Write each of the following equations in y = mx + b form

Solution:

1) Let the equation

$2y=\text{ -1x-8}$

Dividing both sides of the equation by two, we have that this is equivalent to:

$y\text{ = }(-1)/(2)x-(8)/(2)$

this is equivalent to:

$y\text{ = }(-1)/(2)x-4$

Then the above equation is in the form y = mx +b.

2) Consider the following equation:

$y-4\text{ = -3(x-3)}$

adding to both sides of the equation the number 4, we get:

$y\text{ = -3(x-3) + 4}$

now, using the distributive property, we get:

$y\text{ = -3x+9 + 4}$

this is equivalent to:

$y\text{ = -3x +13}$

Then the above equation is in the form y = mx +b.

3) Let the following equation:

$0.2x\text{ + 0.3y = 0.5}$

subtracting to both sides of the equation the term 0.2x , we get:

$\text{ 0.3y = 0.5}-0.2x$

this is equivalent to:

$\text{ 0.3y = }-0.2x+0.5$

now, dividing both sides of the equation by 0.3, we have that this is equivalent to:

$\text{ y = }(-0.2)/(0.3)x+(0.5)/(0.3)$

this is equivalent to:

$\text{ y = }(-2)/(3)x+(5)/(3)$

Then the above equation is in the form y = mx +b.

4) Consider the following equation:

$(1)/(4)y+3\text{ = -5x}$

subtracting to both sides of the equation the number 3 , we get:

$(1)/(4)y\text{ = -5x}-3$

now, multiplying both sides of the equation by 4, we get:

$y\text{ = -20x-12}$

Then the above equation is in the form y = mx +b.

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