Answer:
y = 3x + 9
Explanation:
Since this is a linear equation we can write this in slope intercept form given the two points (0,9) and (3,18)
The equation of a line in slope-intercept form is y = mx + b where m = slope and b = y-intercept
The slope is given by rise/run where rise is the difference in the y values for two points and the run is the difference in the corresponding x values for both points
Rise = 18 - 9 = 9
Run = 3 - 0 = 3
Slope m = 9/3 = 3
The y-intercept which is the y-value where the line crosses the y-axis. This is also the y-value when x = 0
From the graph we can see the line crosses the y axis at x=0, y = 9 so b = 9
The equation of the line is
y = 3x + 9