The diagram shows part of the curve y= 2x+3 and the line x + y = 6 intersecting at the point A. the curve meets the x-axis at the point B and the line intersects the x-axis at the point C.

Hi Tekleabuladze0 ,

Well I don’t know if it is actually what you wanted but I’m gonna explain what I did so you can understand what I did : first I wrote the equation of the curve and the line with the formula: y= mx + p , so there’s no real curve I think because this formula is for the function is represented by the a line of equation. So we have like the first photo : y= 2x+3 for the curve and y= 6-x for the line . Secondly you probably know that the formula is saying that p is the point in the y axis . So we know for the 2 one point then we need one other point to construct the diagram. So you have to use the equation and replace a number by x and you have the second point of your line or curve . Now you have to take a grid paper and write the points and rely them for each line or curve then you can conclude where is A, B or C by the intersections in the diagram just made .

I wish it helped you and that you understand it , have a good day.