Question

Input in standard form the equation of the given line.

The line that passes through (1, 5) and (-2, 3)

Answer 1

slope is defined as the ration of how far y moves with respect to x

y moves from 5 to 3 which is a distance of -2 as:
x moves from 1 to -2 which is a distance of -3

slope = change in y/change in x

slope = 2/3.

ax+by = n is the standard form of the equation where slope = -a/b

-2x +3y = n ; now calibrate it with either point; i pick (1,5)

-2(1) +3(5) = n

-2 +15 = n = 13

-2x +3y = -15 is good, but some dont like a negative in front ...

2x -3y = 15

Answer 2

try that one more time ....

-2x +3y = 13

2x -3y = -13

and thats my final offer :)