To graph the line that passes through the coordinates (2, 3), (3, 4.5), (4, 6), and (6, 9), we can use the slope-intercept form of the equation of a line, which is y = mx + b.
To start, we can find the slope of the line using any two points on the line. Let's use the first and last points:
slope = (change in y) / (change in x) slope = (9 - 3) / (6 - 2) slope = 1.5
Now we can choose any of the four given points and plug in the slope to find the y-intercept, b. Let's use the second point:
4.5 = 1.5(3) + b b = 0.75
So the equation of the line is:
y = 1.5x + 0.75
To graph the line, we can plot the four given points and then connect them with a straight line. Alternatively, we can choose any two values of x and plug them into the equation of the line to find the corresponding values of y, and then plot the resulting points.
THIS LINE DOES PASS THROUGH THE ORIGIN
it is
NOT
proportional because the line passes through the origin
therefore the correct answer is:
A.