Question

Transform
y
−
8
=
3
(
4
x
+
4
)
y−8=3(4x+4) into slope-intercept form (
y
=
m
x
+
b
y=mx+b ).



y
=
y=

x
+
x+

Answer 1

To transform the equation \( y - 8 = 3(4x + 4) \) into slope-intercept form ( \( y = mx + b \) ), we will start by simplifying the equation.

1. Distribute the 3 on the right side:
\[
y - 8 = 3 \cdot 4x + 3 \cdot 4
\]
\[
y - 8 = 12x + 12
\]

2. Next, isolate \( y \) by adding 8 to both sides of the equation:
\[
y = 12x + 12 + 8
\]
\[
y = 12x + 20
\]

Now we have the equation in slope-intercept form:
\[
y = 12x + 20
\]

Thus, the slope \( m \) is 12, and the y-intercept \( b \) is 20.

So, the final answer is:
\[
y = 12x + 20
\]