Question

Rewrite the following equation in slope-intercept form.

y + 10 = 10(x − 8)

Answer 1

To rewrite the equation \( y + 10 = 10(x - 8) \) in slope-intercept form, we need to solve for \( y \).

1. Start with the given equation:
\[
y + 10 = 10(x - 8)
\]

2. Distribute the \( 10 \) on the right side:
\[
y + 10 = 10x - 80
\]

3. Subtract \( 10 \) from both sides to isolate \( y \):
\[
y = 10x - 80 - 10
\]

4. Simplify:
\[
y = 10x - 90
\]

Now the equation is in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m \) is \( 10 \) and the y-intercept \( b \) is \( -90 \). So, the final result is:
\[
y = 10x - 90
\]