Set dashed lines in plot points?

Questions
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1

hi,
i’made a graphic represantation of f(x)=2x function and i want to mark some of the points with dashed lines across the axes x and y.Can anybody help me please?Below i give you the code so far.
Thank you.

Plot[{2 x}, {x, 0, 10}, PlotLabel -> ??????? ?????????, AxesLabel -> {?????????, ???????}, 
 Epilog -> {PointSize[Large], Point[{{0, 0}, {1, 2}, {2, 4}, {3, 6}, {6, 12}, {10, 20}}]}, 
 Ticks -> {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, {0, 1, 2, 3, 5, 10, 12,15, 20}}]
2

Hi Dimitris,

Is this what you are trying to do?

points = {{0, 0}, {1, 2}, {2, 4}, {3, 6}, {6, 12}, {10, 20}};
yAxisPoints = {0, Last[#]} & /@ points;
xAxisPoints = {First[#], 0} & /@ points;
yLines = {Directive[Dashed], Line[#]} & /@ Transpose[{points, yAxisPoints}];
xLines = {Directive[Dashed], Line[#]} & /@ Transpose[{points, xAxisPoints}];

Plot[{2 x}, {x, 0, 10}, 
 Epilog -> {PointSize[Large], Point[points], yLines, xLines}, 
 Ticks -> {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, {0, 1, 2, 3, 5, 10, 12, 15, 20}}]

I left out the labels

10492plot.png
10492plot.png450×278 9.22 KB

3

Yes, thank you very much for the reply!