Step-by-step explanation:
Y=2/3x-4 is in Slope - intercept form meaning you are shown the slope (how steep the line is) and the y intercept (where the equation hits the vertical axis)
With the given information, select the point (0, -4) on the graph, this is where the line crosses the y axis, as shown through the -4 in the equation.
Next, look at the slope and youll see 2/3x. Slope is in format "rise over run" meaning the first number (2) is the vertical change, so up two, and the second number (3) is horizontal change, right 3.
Combine these two steps together and select point (0. -4) then the next point should be at (3,2), 2 units up and three to the right from the y intercept.
You simply put 40 over a hundred and 55 over n (which is the number were trying to find) so you do cross multiplication. 55 times a hundred and after you get the answer. You divide it by 40 and should get 137.5.
Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7
