Is y = 4x + 5 Linear?

Yes, the equation y = 4x + 5 is a linear equation.

A linear equation is any equation that can be graphically represented as a straight line on a coordinate plane. The general form of a linear equation in two variables (x and y) is y = mx + b, where m represents the slope of the line and b is the y-intercept.

In the equation y = 4x + 5, the slope m is 4, which indicates the steepness of the line, and the y-intercept b is 5, meaning that the line crosses the y-axis at the point (0, 5). Since this equation can be written in the form of y = mx + b, it is indeed a linear equation.

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