The first graph is the solution for given table and the linear equation is y=3x+2.
Step-by-step explanation:
The linear equation of the line is y=mx+c.
where m is the slope and c is the y intercept.
The slope [tex]m=\frac{rise}{run} .[/tex]
[tex]\\rise=y_{2} -y_{1}.\\run=x_{2}- x_{1}.[/tex]
Choose two points (0,2) and(1,5).
[tex]m=\frac{5-2}{1-0} \\m=\frac{3}{1}.\\[/tex]
y=3x+c.
To find the y-intercept value substitute (0,2) in the equation.
2=0+c.
c=2.
∴y=3x+2.
