# Plot help with axes coordinates

Plot[{4 - 2 y, (5 + y)/3}, {y, 1, 10}]


How do I make Mathematica tell me the coordinates for cuts with the y-axis, other than just looking at it?

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Have a look at the documentation for Solve. – Sjoerd C. de Vries Aug 24 '14 at 19:32

You can also use the MeshFunctions option to get the intercepts as follows:

Plot[{4 - 2 y, (5 + y)/3}, {y, -10, 10},
MeshFunctions -> {#2 &}, Mesh -> {{0.}},  MeshStyle -> PointSize[Large]]


Plot[{4 - 2 y, (5 + y)/3}, {y, -10, 10},
MeshFunctions -> {#1 &}, Mesh -> {{0.}},  MeshStyle -> PointSize[Large]]


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I'm a little bit disappointed that you got the acceptance :) – eldo Aug 25 '14 at 21:53
@eldo, i know the feeling :) – kglr Aug 25 '14 at 22:02
fun = {4 - 2 y, (5 + y) / 3};

p = Flatten @ Map[Solve[# == 0, y] &, fun] /. Rule[_, a_] :> a


{2, -5}

Plot[fun, {y, -10, 10},
Epilog -> {PointSize@0.02, Point[{#, 0}] & /@ p},
FrameTicks -> {p, Automatic},
FrameTicksStyle -> 12,
GridLines -> {p, {0}},
ImageSize -> 500,
PlotTheme -> "Detailed"]


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