The equation of a line given in point-slope form is \( y+8=-0.75(x-20) \). Rewrite this equation in slope-intercept form. For full credit, you must show or explain your work. Attach any necessary files before submitting the question.

To convert the point-slope form \( y + 8 = -0.75(x - 20) \) to slope-intercept form, we need to isolate \( y \). Start by distributing the slope on the right side: 1. Distribute: \[ y + 8 = -0.75x + 15 \] 2. Now, subtract 8 from both sides to isolate \( y \): \[ y = -0.75x + 15 - 8 \] \[ y = -0.75x + 7 \] So the equation in slope-intercept form is \( y = -0.75x + 7 \). To clarify, in slope-intercept form \( y = mx + b \), \( m \) represents the slope (-0.75) and \( b \) is the y-intercept (7). Knowing the method behind reorganizing equations can come in handy! If you ever find yourself confused about moving terms around, just remember the "opposites attract" principle. Whatever you do to one side of the equation, you must do to the other. This not only keeps things balanced but also gets you closer to making \( y \) the star of the show. When tackling equations, avoid common pitfalls like neglecting negative signs or misplacing terms. Double-check your arithmetic and, if needed, retrace your steps to catch small errors before they become big headaches!