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The equation of the line is in the form
[tex]y=mx+b[/tex]in which m represents the slope of the line and b is the y-intercept.
according to the information given m=7
to find the y-intercept we can use the point given.
[tex]y=7x+b[/tex]using point (5,3)
[tex]\begin{gathered} 3=7(5)+b \\ 3=35+b \\ 3-35=b \\ -32=b \end{gathered}[/tex]the equation of the line is
[tex]y=7x-32[/tex]