Answer:
C. y = 5x-1 and y = -x+5
Step-by-step explanation:
Since there are two lines on the graph, we will find the equation of both lines. The standard form of equation of a line is y = mx+c where;
m is the slope of the line = y₂-y₁/x₂-x₁
c is the intercept (the point where the line cuts the y axis)
For the blue line;
It can be seen that the coordinate of the lines are (1,4) and (0, -1)
m = -1-4/0-1
m = -5/-1
m = 5
For this line, it can be seen that the line cuts the y-axis at -1, hence the intercept of the line is -1
The equation of the blue line will be y = 5x+(-1)
y = 5x-1
For the red line;
It can be seen that the coordinate of the lines are (0,5) and (5, 0)
m = 0-5/5-0
m = -5/5
m = -1
For this line, it can be seen that the line cuts the y-axis at 5, hence the intercept of the line is 5
The equation of the red line will be y = -x+5
Hence, the system of equations that has the solution shown in the graph are y = 5x-1 and y = -x+5
