How to Turn an Equation Into Slope-Intercept Form
First, isolate y on one side of the equation. If you start with something like 2x + 3y = 6, subtract 2x from both sides to get 3y = -2x + 6. Then, divide every term by 3: y = (-2/3)x + 2—voilà, slope-intercept form!
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Just get y by itself on one side of the equation. For instance, if it's 5x - y = 10, add y to both sides, then subtract 10: y = 5x - 10. Easy peasy!
It helps to move stuff around until you get y = mx + b. Algebraic gymnastics, baby!
Real talk: just solve for y. Move terms to the other side and divide as needed. It's like cleaning a messy room—just put things in the right place.
Take it from me, I was terrible at this in high school. Focus on getting y alone on one side, it'll make everything click. If you have 4x + 2y = 8, subtract 4x and divide by 2 to get y = -2x + 4. It’s straightforward once you get the hang of it!
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