Question

convert and write the quation in slope intercept form. y+5=-5(x-1)

Answers

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 \(0\).