Explanation:
first we find the line (and it's equation) before we turn it then into an inequality.
the general slope intercept form of a line is
y = ax + b
a is the slope. this is expressed is the ratio of y changes / x changes when going from one point to another.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b (if not one of points gives us this value directly).
so, what points (best with integer coordinates) can we find ?
we see, the line goes through the origin (0, 0), which gives us also already the y- intercept (0).
and then there is (4, 3).
the slope bases on the coordinate differences :
x changes by +4 (from 0 to 4).
y changes by +3 (from 0 to 3).
so, the slope is 3/4.
and therefore, the whole line equation is
y = (3/4)x + 0 = (3/4)x
now, we see that the valid area of the inequality is everything below the line.
that means all y values smaller than what the line equation would calculate.
and the line itself is dotted and is therefore not included in the solution.
so, we need to use "<" instead of "<=".
and the correct inequality is
y < (3/4)x