Question

Change the point slope equation y+4=-2(x-6)
To slope intercept form

Answer 1

To convert the point-slope equation \( y + 4 = -2(x - 6) \) to slope-intercept form \( y = mx + b \), follow these steps:

1. Distribute the \(-2\) on the right side:
\[
y + 4 = -2x + 12
\]

2. Subtract \(4\) from both sides to isolate \(y\):
\[
y = -2x + 12 - 4
\]

3. Simplify the right side:
\[
y = -2x + 8
\]

Thus, the equation in slope-intercept form is:
\[
y = -2x + 8
\]