in slope-intercept form what is equivalent to y−1=−

Question

3
1
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(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: \[ y = -3x + 19 \]