Answer:
y = [tex]-\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is give by,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through the points (0, 3) and (2, 2),
m = [tex]\frac{3-2}{0-2}[/tex] = [tex]-\frac{1}{2}[/tex]
Y-intercept 'b' of the given line in the graph is (3).
Since, equation of line with slope 'm' and y-intercept 'b' is,
y = mx + b
Therefore,equation of the line given in graph will be,
y = [tex]-\frac{1}{2}x+3[/tex]
