Answer:
y ≤ 3x − 1, y ≤ −x + 4
Step-by-step explanation:
The line f(x) is solid and goes through the points (0, 4) and (4, 0) and is shaded below the line.
The line that satisfies the point (0,4) and (4,0) is y=-x+4
Since it is shaded below the line, we have the inequality sign:
Therefore, one of the lines is:
[tex]y\leq -x+4[/tex]
The line g(x) is solid and goes through the points (0, -1) and (2, 5) and is shaded below the line.
Slope,
[tex]m=\frac{5-(-1)}{2-0}=3[/tex]
When x=0, y=-1
y=mx+b
y=3x+b
-1=3(0)+bb=-1
Therefore, the equation of the line is:
y=3x-1
Since it is shaded below the line, we have the inequality sign: [tex]\leq[/tex]
Therefore, the other line is:
[tex]y\leq 3x-1[/tex]
