Question

in slope-intercept form what is equivalent to y−1=−
3
1
​
(x−6)?

Answer 1

To convert the equation \( y - 1 = -\frac{3}{1} (x - 6) \) into slope-intercept form, which is \( y = mx + b \), follow these steps:

1. Start with the given equation:
\[
y - 1 = -3(x - 6)
\]

2. Distribute \(-3\) on the right side:
\[
y - 1 = -3x + 18
\]

3. Next, add \(1\) to both sides to isolate \(y\):
\[
y = -3x + 18 + 1
\]
\[
y = -3x + 19
\]

So, the equation in slope-intercept form is:
\[
y = -3x + 19
\]