lewrite the following equation in slope-intercept form,

Write your answer using integers, proper fractions, and in

To rewrite the equation in slope-intercept form, we start by simplifying the equation. The original equation is .

First, we need to set it up correctly:
.

Now, distribute into :
.

Now we have , which is already in slope-intercept form where (the slope) is and (the y-intercept) is . So the final answer is:

One fun fact is that slope-intercept form is super useful! It helps you quickly identify the slope and y-intercept, making graphing lines a breeze. So next time you’re plotting points, remember you can just grab those two numbers and create your line in a snap!

When working with equations, a common mistake is forgetting to distribute or combine like terms correctly. Always double-check your work step-by-step to avoid falling into those traps and ensure you’re not scratching your head wondering what went wrong!