Question

Transform
𝑦
−
6
=
2
(
3
𝑥
+
8
)
y−6=2(3x+8) into slope-intercept form (
𝑦
=
𝑚
𝑥
+
𝑏
y=mx+b ).



𝑦
=
y=

𝑥
+
x+

Answer 1

To transform the equation \( y - 6 = 2(3x + 8) \) into slope-intercept form (\( y = mx + b \)), follow these steps:

1. Distribute the \( 2 \) on the right side:
\[
y - 6 = 2 \cdot 3x + 2 \cdot 8
\]
\[
y - 6 = 6x + 16
\]

2. Add \( 6 \) to both sides to isolate \( y \):
\[
y = 6x + 16 + 6
\]
\[
y = 6x + 22
\]

Thus, the equation in slope-intercept form is:
\[
y = 6x + 22
\]

In summary, \( m = 6 \) and \( b = 22 \):
\[
y = 6x + 22
\]