Question

convert and write the equation in slope intercept form. y-1=4(x+1)

Answer 1

To convert the equation \( y - 1 = 4(x + 1) \) 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 given equation:
\[
y - 1 = 4(x + 1)
\]

2. Distribute \( 4 \) on the right side:
\[
y - 1 = 4x + 4
\]

3. Add \( 1 \) to both sides to isolate \( y \):
\[
y = 4x + 4 + 1
\]

4. Simplify the equation:
\[
y = 4x + 5
\]

The equation in slope-intercept form is:
\[
y = 4x + 5
\]

Here, the slope \( m \) is \( 4 \) and the y-intercept \( b \) is \( 5 \).