Answer:
(1,3)
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis, or when x is equal to 0).
We're given that this line contains the point (0,1). This tells us that the y-intercept (b) of the line is 1. We're also given that this line has a slope (m) of 2. Plug these values into [tex]y=mx+b[/tex]:
[tex]y=2x+1[/tex]
Now, plug in all of the possible points to see which are solutions.
1) (1,3)
[tex]3=2(1)+1\\3=2+1\\3=3[/tex]
Because the left side of the equation is equal to the right, (1,3) also lies on this line.
2) (3,1)
[tex]1=2(3)+1\\1=6+1\\1=7[/tex]
Because the left side is not equal to the right, (3,1) does not lie on the line.
3) (2,2)
[tex]2=2(2)+1\\2=4+1\\2=5[/tex]
Because the left side is not equal to the right, (2,2) does not lie on the line.
4) (2,3)
[tex]3=2(2)+1\\3=4+1\\3=5[/tex]
Because the left side is not equal to the right, (2,3) does not lie on the line.
I hope this helps!
