The following linear equation ,y= b0 = b1x, is a regression line with y-intercept b0 and slope b1.

To understand the given equation, let's break it down step by step:

1. The equation is y = b0 + b1x.
This is the equation of a straight line. The value of y depends on the value of x, and the line is determined by two parameters: the y-intercept (b0) and the slope (b1).

2. y-intercept (b0):
The y-intercept is the value of y when x is zero. In other words, it represents the point where the line intersects the y-axis. The y-intercept is denoted by b0 in the equation.

3. Slope (b1):
The slope represents the rate of change of y with respect to x. It determines how steeply the line rises or falls. A positive slope indicates that y increases as x increases, while a negative slope indicates that y decreases as x increases. The slope is denoted by b1 in the equation.

So, the equation y = b0 + b1x represents a straight line with a y-intercept of b0 and a slope of b1. By plugging in different values for x, you can calculate the corresponding values of y using the equation. This equation is commonly used in regression analysis to model the relationship between variables.