Answer: (A) 2x-3
Step-by-step explanation:
First you would pick two points from the table to plug into the slope formula:
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
(2,1) and (4,5)
[tex]m = \frac{5-1}{4 -2}\\m = \frac{4}{2} \\m=2[/tex]
Now that we know the slope, we can use the point-slope formula to find the y-intercept.
[tex]y - y_{1} = m(x - x_{1})[/tex]
Use any point for x1 and y1: (2,1)
[tex]y - 1 = 2(x - 2)\\y - 1 = 2x-4 \\-+1 ---+ 1\\y = 2x -3[/tex]
