Factor -1/2out of -1/2x+6
1 answer:
You might be interested in
Option D: Graph C is the solution to the system of linear inequalities.
Explanation:
The system of linear inequalities are and
Let us graph the inequality
Let us substitute the coordinate in the inequality
, we get,
This is false. Hence, the solution does not contain the coordinate
Thus, let us shade the upper part of the line in the graph.
Similarly, let us substitute the coordinate in the inequality
, we get,
This is false. Hence, the solution does not contain the coordinate
Thus, let us shade the lower part of the line in the graph.
The solution to the system of linear inequality is the intersection of the two regions.
Thus, the solution of the inequality is Graph C.
Hence, Option D is the correct answer.
Answer:
Option C
y=5x-11
Step-by-step explanation:
We first find the gradient,m, of the line that passes through the points (3,4) and (2,-1)
Let
x=3
y=4
By substitution,
Putting that m=5, x=3 and y=4 into the general equation,
y=mx+c
This implies that
4=5(3)+c
4=15+c
4-15=c
c=-11
The equation of the line is given as
y=mx+c
where m=5 and c=-11
Hence y=5x-11