Since we know the slope, we know what x is. x is equal to 2.5. Therefore, the equation will be y=2.5x+?. The y-intercept on this graph is 0. This is because the only point on the y line is (0,0). Therefore, the y-intercept is 0. Therefore, the equation is y=2.5x.
Here the list of the transformations applied to the parent function, and their effect:
. This causes a horizontal compression of factor 4.
. This causes a horizontal translation, 3 units to the left.
. This causes a reflection about the x axis.
. This causes a vertical translation, 3 units up
So, if you start from the graph of , you have to compress and translate it horizontally, flip it with respect to the x axis, and finally move it up 3 units.