Question 5 Write the equation in slope-intercept form. \[ y+6=-\frac{3}{4}(x+8) \] \( \square \) (3) Need helo with this question?

To rewrite the equation in slope-intercept form (y = mx + b), start by distributing the \(-\frac{3}{4}\) on the right side: \(y + 6 = -\frac{3}{4}x - 6\). Then, isolate y by subtracting 6 from both sides which gives: \(y = -\frac{3}{4}x - 12\). Voilà! Your equation is now in the desired format. Now, did you know that the slope-intercept form is super handy in real-world scenarios? It helps you understand the relationship between two variables quickly. For instance, if you're analyzing a business's profit (y) over time (x), the slope gives you the rate of change in profit. So, interpreting this can guide major decisions, like when to expand or cut back!