Answer:
[tex]y=2x+1[/tex] is the required equation of line.
Step-by-step explanation:
To find the equation of line [tex]y=mx+b[/tex] through (3, 7) and (5, 11) we first need to find the slope of line and then y-intercept.
[tex]\mathrm{Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-3}=2}[/tex]
Use one point and slope to find the y-intercept.
[tex]7=2\left(3\right)+b\:\quad \Rightarrow \quad \:b=1[/tex]
[tex]y=2x+1[/tex]
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