The rate of change of a graphed function is the ratio of the change in the ordinate value to the change in the abscissa value between two points. When the plot has y on the vertical axis and x on the horizontal axis, the rate of change is .. (change in y)/(change in x)
When the plot is of a straight line, you find the rate of change by locating two points on that line whose coordinates you can read from the graph. Then subtract the y-value of the first from that of the second to get the change ∆y. Do the same for the x-values: subtract the first from the second to get ∆x. The "rate of change" between the points you selected is .. rate of change = (∆y)/(∆x)
If the plot goes upward from left to right, the rate of change is positive. If it goes downward left to right, the rate of change is negative.
So you can use substitution...which is where you have Y all alone on one side of your equation and then plug it in to the other equation...2x-5=-3x+10 and you.solve for X. So x= 3. Then plug 3 into one of the original equations... Y=2(3)+5. So Y= 11.