Question

convert and write the equation in slope intercept form. y+2=-3(x-5)

Answer 1

To convert the equation \( y + 2 = -3(x - 5) \) into slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:

1. Distribute \(-3\) on the right side:
\[
y + 2 = -3x + 15
\]

2. Subtract \(2\) from both sides to solve for \(y\):
\[
y = -3x + 15 - 2
\]
\[
y = -3x + 13
\]

Now the equation is in slope-intercept form:

\[
y = -3x + 13
\]

Here, the slope \(m\) is \(-3\) and the y-intercept \(b\) is \(13\).