Question

Indicate in standard form the equation of the line passing through the given points.

A(4, 1), B(5, 2)

Answer 1

except that
\[3-x-y\] is not an equation. first you need the slope

Answer 2

\[m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-1}{5-4}=\frac{1}{1}=1\]

Answer 3

now use almighty point slope formula
\[y=y_1=m(x=x_1)\] in your case you can use
\[x_1=4,y_1=1\] to get
\[y-1=1(x-4)\]
\[y-1=x-4\]
\[y=x-3\]

Answer 4

so it should be 3-x=y