Question

Rewriting linear equation into slope-intercept form and vice-versa

Answer 1

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. To rewrite an equation into slope-intercept form, simplify and rearrange the equation, isolate the y-variable, and identify the slope and y-intercept.

Step-by-step explanation:

Slope-Intercept Form

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.

Steps to Rewrite an Equation into Slope-Intercept Form:

1. Simplify and rearrange the equation.
2. Isolate the y-variable on one side of the equation.
3. Write the equation in the form y = mx + b by identifying the slope (m) and y-intercept (b).

Steps to Rewrite an Equation into Standard Form:

1. Simplify and rearrange the equation.
2. Multiply the equation by a common denominator to eliminate any fractions.
3. Move all terms to one side of the equation.
4. Write the equation as Ax + By = C, representing the standard form of a linear equation.