Consider the following system of equations:
2 answers:
Answer:
The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
Step-by-step explanation:
The first equation is given to be :
y = -x + 2
x 0 2
y 2 0
The second equation is :
y = 3x + 1
x 0 -1/3
y 1 0
Now, The graphs of both the equation are attached below :
So, By seeing the graph, We can observe :
- Line y = −x + 2 intersects line y = 3x + 1.
- Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
- Lines y = −x + 2 and y = 3x + 1 intersect the y-axis
But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.
Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
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I hope this picture helps, but next time try to chose a number to cancel out the fraction. Example, y=1/3x+4 chose 3,6,9 and other multiples of 3.
