Final answer:
To convert a linear equation from standard form to slope-intercept form, solve the equation for y and rearrange it to the form y = mx + b.
Step-by-step explanation:
To convert a linear equation from standard form to slope-intercept form, follow these steps:
Write down the standard form equation: Ax + By = C
Solve the equation for y to isolate it on one side: y = (-A/B)x + C/B
Rearrange the equation to the slope-intercept form: y = mx + b, where m is the slope (-A/B) and b is the y-intercept (C/B)
For example, if the standard form equation is 2x - 3y = 6, we can convert it to slope-intercept form as follows: y = (2/3)x - 2.