[tex]\huge\boxed{y=-2x+3}[/tex]
Start off by finding the slope of the line with the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Substitute the values. [tex]\frac{1-3}{1-0}[/tex]
Subtract. [tex]\frac{-2}{1}[/tex]
Simplify. [tex]-2[/tex]
[tex]-2[/tex] is the slope of the line.
Now, use the point-slope formula to create an equation, where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is a known point on the line. [tex]y-y_1=m(x-x_1)[/tex]
Substitute the values. [tex]y-3=-2(x-0)[/tex]
Simplify. [tex]y-3=-2x[/tex]
Move the [tex]3[/tex] to create the final equation in slope-intercept form. [tex]\large\boxed{y=-2x+3}[/tex]
