The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, the line passes through the points (0, 8) and (3, 3), then its slope is:
[tex]m=\frac{3-8}{3-0}=-\frac{5}{3}[/tex]
From the graph, the line intersects the y-axis at (0,8), then b = 8.
Finally, the equation is:
[tex]y=-\frac{5}{3}x+8[/tex]
