Find the distance from G(-3, -1) to the line whose equation is y = 4. How would I do this problem.

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Find the distance from G(-3, -1) to the line whose equation is y = 4. How would I do this problem.

Mathematics
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we have to find the shortest distance?
no just the distance its multiple choice and these are the options 3 2 5 4
if we have to find the shortest distance if you graph this onto a graph paper you will directly see what to do. the shortest distance from a point to any line is always the perpendicular to the line going through the point. so in this case the shortest distance from (-3,-1) is perpendicular to y = 4. So any line that is perpendicular to y = 4 must have the equation x = ... right? so from here we can see that since we have to go through the point (-3, -1) we can just say that the equation of the line will be x = -3. so now if you graph x = -3 you will see that the line x = -3 intersects the line y = 4 at point (-3, 4) so then the shortest distance from the point (-3,-1) to (-3,4) is 5 units straight upwards.

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makes sense?
thank you so much
is there any way to do this without graph paper
well you don't need to have graph paper. if you just plot it out roughly you will see exactly what to do.
ok thamks
thanks

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