Answer:
y < -2/3x +4
Step-by-step explanation:
The line intersects the y-axis at y=4, so that is the y-intercept.
The line drops 2 units for each 3 units to the right, so the slope is ...
(change in y)/(change in x) = -2/3
The slope-intercept form of the equation for a line is a form you have memorized:
y = mx + b . . . . . . for slope m and y-intercept b
Using the values we read from the graph, the equation of the line is ...
y = -2/3x + 4
The line is dashed, so the inequality does not include points on the line. The solution just includes y-values less than (below) those on the line. Hence the inequality is ...
y < (-2/3)x +4
