Answer:
[tex]y=-\frac{1}{3}x+1[/tex]
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the picture attached,
b = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through the points (0, 1) and (3, 0) will be,
m = [tex]\frac{0-1}{3-0}[/tex] = [tex]-\frac{1}{3}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{3}x+1[/tex]
