Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

3y−3x=15

Answer 1

Part I: Reviewing the slope intercept form equation

Given equation:

• 3y - 3x = 15

Slope intercept form: y = mx + b

[Where "m" is the slope and "b" is the y-intercept]

Part II: Isolating "y" and it's cooeficient on one side of the equation

In the slope intercept form equation, we can see that the "y" variable is completely isolated on one side of the equation. Therefore,

• ⇒ 3y - 3x = 15
• ⇒ 3y - 3x + 3x = 15 + 3x
• ⇒ 3y = 3x + 15

Part III: Isolating "y" from it's cooeficient

The "y" variable in the slope intercept form has no cooeficient. Therefore, we need to isolate the cooeficient of "y" in our equation ( 3y = 3x + 15 ). This can be done by dividing 3 both sides or multiplying 1/3 both sides.

• ⇒ 3y/3 = (3x + 15)/3
• ⇒ y = (3x + 15)/3

Part IV: Simplify the other side of the equation

Finally, simplify the other side to obtain our equation in slope intercept form.

• ⇒ y = 3x/3 + 15/3
• ⇒ y = x + 5

Therefore, the equation in slope intercept form is y = x + 5.

Answer 2

__________________________________________________________

Hello! In this question, we will be changing our given equation to turn it into slope-intercept form.

__________________________________________________________

Step-by-step explanation:

We are given the following equation:

3y − 3x = 15

Our goal is to turn the equation into slope-intercept form, which is:

y = mx + b

Let us rearrange the equation and simplify it:

3y − 3x = 15

Add 3x to both sides, which would cancel the 3x on the left.

3y = 3x + 15

Now, divide everything by 3 to get the "y" variable by itself.

y = x + 5

Therefore, your simplified equation in slope-intercept form would be:

y = x + 5

__________________________________________________________

Answer:

y = x + 5

__________________________________________________________