ANSWER
The equation is
[tex]2y - x = 7[/tex]
EXPLANATION
The equation of the line that passes through the point (-1,3) and (1,4) can be found using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m = \frac{4 - 3}{1 - - 1} [/tex]
[tex]m = \frac{1}{2} [/tex]
is the slope and
[tex](x_1,y_1) [/tex]
is a point on the line.
The equation of the line becomes,
[tex]y - 4 = \frac{1}{2} (x - 1)[/tex]
Multiply through by 2 to get,.
[tex]2y - 8 = x - 1[/tex]
Or
[tex]2y - x = 7[/tex]
