Answer:
[tex]y = \frac{9}{2}(x) + \frac{1}{2}[/tex]
Step-by-step explanation:
Linear equations can be written as
[tex]y = mx + b[/tex]
m is [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
b is the y intercept
[tex]\frac{9.5 - 0.5}{2-0}\\ =\frac{9}{2} \\y = \frac{9}{2}x+b\\\frac{1}{2}= \frac{9}{2}(0) + b\\ b = 1/2[/tex]
plug in to verify
[tex]9.5 = 9/2(x) + 1/2\\\\9.5 = 9/2(2) + 1/2\\9.5 = 9 + 1/2\\9.5 = 9.5[/tex]
it checks out
