Answer: x-8y=-19
Step-by-step explanation:
Equation of line standard form : [tex]Ax+By= c[/tex]
We know that the equation of a line that passes through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then , the equation of line passes through (-3,2) and (5,3):
[tex](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[/tex]
Hence, the equation of the line passing through (-3,2) and (5,3) :
[tex]x-8y=-19[/tex]
