Simplify the equation and write in slope intercept form (y = mx + b). y = 2(5 - 3x) - 6 + 9x

Answer 1

To simplify the equation \( y = 2(5 - 3x) - 6 + 9x \) and write it in slope-intercept form ( \( y = mx + b \) ), follow these steps:

1. Distribute the 2 in the term \( 2(5 - 3x) \): \[ y = 10 - 6x - 6 + 9x \]

2. Combine the constant terms (10 and -6): \[ y = 4 + (-6x + 9x) \]

3. Combine the \( x \) terms: \[ y = 4 + 3x \]

4. Rewrite it in slope-intercept form: \[ y = 3x + 4 \]

Thus, the equation simplified and in slope-intercept form is: \[ y = 3x + 4 \]