Agraph is shown below:

a graph is shown. the values on the x axis are 0, 3, 6, 9, 12, and 15. the values on the y axis are 0, 9, 18, 27, 36, and 45. points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. these points are connected by a line

what is the equation of the line in slope-intercept form?

y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3

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.