Simplify the equation and write in slope intercept form (y = mx + b). Show all you work. y = 6x + 8 - 7x - 3

Answer 1

To simplify the equation \( y = 6x + 8 - 7x - 3 \) and write it in slope-intercept form, we will combine like terms.

1. Combine the \( x \) terms: \[ 6x - 7x = -1x \text{ or } -x \]

2. Combine the constant terms: \[ 8 - 3 = 5 \]

3. Rewrite the equation with the combined terms: \[ y = -x + 5 \]

Now the equation is in the standard form \( y = mx + b \), where:

• \( m = -1 \) (the slope)
• \( b = 5 \) (the y-intercept)

Thus, the simplified equation in slope-intercept form is: \[ \boxed{y = -x + 5} \]