Answer:
[tex]\boxed{y=-2x+5}[/tex]
Step-by-step explanation:
The equation in slope-intercept form is given by:
[tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.
The given line passes through so many points. We can use any two these points to find the slope of the line.
The line passes through [tex](x_1,y_1)= (1,3)[/tex] and [tex](x_2,y_2)=(2,1)[/tex].
The slope is given by;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\Rightarrow m=\frac{1-3}{2-1}[/tex].
[tex]\Rightarrow m=\frac{-2}{1}=-2[/tex].
The y-intercept from the graph is [tex]c=5[/tex]
Our equation finally becomes;
[tex]y=-2x+5[/tex]
