Mathematics

Mathematics

Problem

Write the slope-intercept form of the equation of each line. x−2y=−12x - 2y = -12
Intuitive explanation

The key is to isolate yy on one side so the equation matches the form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept. Rearrange by moving the xx term to the right, then divide everything by the coefficient of yy to solve for yy alone. This reveals both the slope and where the line crosses the y-axis in one clean expression.

Intuitive explanation

The key is to isolate yy on one side so the equation matches the form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept. Rearrange by moving the xx term to the right, then divide everything by the coefficient of yy to solve for yy alone. This reveals both the slope and where the line crosses the y-axis in one clean expression.

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