The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:
b = 36 m = (y2 - y1) / (x2 - x1) m = (27 - 36) / (3 -0) = -3
So, the equation of the line would be y = -3x + 36.
