which number completes the system of linear inequalities represented by the graph?\ny ≥ 2x - 2 and x + 4y ≥
which number completes the system of linear inequalities represented by the graph?\ny ≥ 2x - 2 and x + 4y ≥
Answer
Explanation:
Step1: Find the equation of the second line
The general form of a line is (y = mx + b). For the line (x + 4y=c), we can rewrite it as (y=-\frac{1}{4}x+\frac{c}{4}). We can use a point on the line. Let's take the (y -)intercept. When (x = 0), from the graph, we can assume a point ((0,- 3)) lies on the line (x + 4y=c).
Step2: Substitute the point into the equation
Substitute (x = 0) and (y=-3) into (x + 4y=c). We get (0+4\times(-3)=c). [c=-12]
Answer:
(-12)