Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A)
y-2x+1 and - x+9
B)y=2x-1 and = x +9
C)y=xx-1 and 7x+9
D)y=-x-1 and - *+9
9

 and  

Step-by-step explanation:

step 1

Find the equation of the blue line

take the points

(0,-1) and (8,5) from the graph

Find the slope

The formula to calculate the slope between two points is equal to

substitute

simplify

Find the equation of the line in slope intercept form

we have

---> see the graph

substitute the given values

step 2

Find the equation of the black line

take the points

(0,9) and (3,5) from the graph

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Find the equation of the line in slope intercept form

we have

---> see the graph

substitute the given values

therefore

The system of equations is

 and  

step-by-step explanation: