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What is an equation of the line that passes through the points (4,-2) and (8,3)?​

User Citizen SP
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The equation of the line (4,-2) and (8,3) is Y=5/4x-7
What is an equation of the line that passes through the points (4,-2) and (8,3)?​-example-1
User Trevir
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8.4k points
3 votes

Answer:


y-4=(5)/(4) (x+2)

Explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m =
(y_(2)-y_(1))/(x_(2)-x_(1))

m =
(3-(-2))/(8-4)

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,


y-4=(5)/(4) (x+2)

(don't leave out the parentheses!)

User Shaune
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7.7k points

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