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Readme [11.4K]
3 years ago
12

Write an equation of the line passing through ​(-3​,2​) and ​(5​,3​). Give the answer in standard form.

Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:   x-8y=-19

Step-by-step explanation:

Equation of line standard form : Ax+By= c

We know that the equation of a line that passes through (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-b}{c-a}(x-a)

Then , the equation of line passes through  (-3​,2​) and ​(5​,3​):

(y-2)=\dfrac{3-2}{5-(-3)}(x-(-3))\\\\ (y-2)=\dfrac{1}{5+3}(x+3)\\\\ (y-2)=\dfrac{1}{8}(x+3)\\\\ 8(y-2)= x+3\\\\ 8y-16=x+3\\\\ x-8y=-16-3\\\\ x-8y=-19

Hence, the  equation of the line passing through ​(-3​,2​) and ​(5​,3​) :

x-8y=-19

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