The graphs of y=x^2-3 and y=3x-4 intersect at

Point at which they intersect is going to have a single y value and a single x value. So at that point, the x and y values are equal:



So the lines intersect at two x values, 2.62 and 0.38. Now plug them into either equation to find the y values:





So the lines intersect at (2.62,3.86) and (0.38,-2.86)