Why is y equal ax plus b a linear equation?

Answer 1

The equation ( y = ax + b ) is considered a linear equation because it represents a straight line when graphed on a coordinate plane. In this equation, ( a ) is the slope, which indicates the steepness of the line, while ( b ) is the y-intercept, the point where the line crosses the y-axis. The relationship between ( x ) and ( y ) is linear, meaning that for every unit increase in ( x ), ( y ) changes by a constant amount determined by ( a ). Thus, it satisfies the definition of linearity.