Question
convert and write the quation in slope intercept form. y+5=-5(x-1)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To convert the equation \( y + 5 = -5(x - 1) \) into slope-intercept form, which is \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:
1. Start with the original equation:
\[
y + 5 = -5(x - 1)
\]
2. Distribute the \(-5\) on the right side:
\[
y + 5 = -5x + 5
\]
3. Subtract \( 5 \) from both sides to isolate \( y \):
\[
y = -5x + 5 - 5
\]
\[
y = -5x
\]
So, the equation in slope-intercept form is:
\[
y = -5x
\]
Here, the slope \( m \) is \(-5\) and the y-intercept \( b \) is \(0\).
1. Start with the original equation:
\[
y + 5 = -5(x - 1)
\]
2. Distribute the \(-5\) on the right side:
\[
y + 5 = -5x + 5
\]
3. Subtract \( 5 \) from both sides to isolate \( y \):
\[
y = -5x + 5 - 5
\]
\[
y = -5x
\]
So, the equation in slope-intercept form is:
\[
y = -5x
\]
Here, the slope \( m \) is \(-5\) and the y-intercept \( b \) is \(0\).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.