Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces.

[tex]
y+2=4(x-3)
[/tex]

Answer here:

Sagot :

GinnyAnswer
To rewrite the linear equation in slope-intercept form [tex]\( y = mx + b \)[/tex], let’s follow these steps:

1. Start with the given linear equation:
[tex]\[ y + 2 = 4(x - 3) \][/tex]

2. Distribute the 4 on the right side of the equation:
[tex]\[ y + 2 = 4x - 12 \][/tex]

3. Isolate [tex]\( y \)[/tex] by subtracting 2 from both sides of the equation:
[tex]\[ y = 4x - 12 - 2 \][/tex]

4. Simplify the equation:
[tex]\[ y = 4x - 14 \][/tex]

Thus, the equation in slope-intercept form is:
[tex]\[ y = 4x - 14 \][/tex]
wegnerkolmp2741o

Answer:

y=4x-14

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b  where m is the slope and b is the y intercept.

y+2 = 4(x-3)

Distribute the 4.

y+2 = 4x-12

Subtract 2 from each side.

y+2-2 = 4x-12-2

y=4x-14

The slope is 4 and the y intercept is -14.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.