We will replace those values in:
[tex]y-y_1=m(x-x_1)[/tex]That is:
[tex]y-3=7(x-5)[/tex]Then, we solve for y:
[tex]\Rightarrow y-3=7x-35\Rightarrow y=7x-32[/tex]From this, we have that the line that passes by the point (5, 3) and has a slope (m) of 7 is:
[tex]y=7x-32[/tex]