How to Convert Slope Intercept to Standard Form

TL;DR

To convert a linear equation from slope intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation by moving x and y terms to one side and the constant to the other. Change the signs of the terms being moved and, if fractions are present, multiply through by the common denominator to simplify.

Transcript

in this video we're going to talk about how to convert a linear equation from slope intercept form to standard form so we have this example Y is equal to three x minus 4. right now it's in standard form I mean it's in slope intercept form which is y equals MX plus b and we want to convert that to standard form which is ax plus b y is equal to C how... Read More

Key Insights

• 💁‍♂️ Converting from slope intercept form to standard form involves moving the x and y variables and changing signs.
• 🍉 Fractions in the equation can be eliminated by multiplying every term by the common denominator.
• ❣️ Standard form follows the convention of having the x term before the y term.

Summary & Key Takeaways

• The process of converting a linear equation from slope intercept form to standard form involves moving the x and y variables to the left side of the equation and keeping the constant term on the right side.

• To move a term from one side to the other, simply change its sign. For example, moving 3x from the right side to the left side would result in -3x on the left.

• In cases where the equation includes fractions, multiply everything by the common denominator to eliminate the fractions and simplify the equation.