Is that slope [tex]\frac 3 4[/tex]? If so, the line with slope [tex]\frac 3 4[/tex] through [tex](3,7)[/tex] is
[tex]y - 7 = \frac 3 4(x- 3)[/tex]
[tex]4y -28 = 3x - 9[/tex]
[tex] 3x - 4y=-19[/tex]
Check: The slope is correct by inspection; at [tex](3,7)[/tex] we get
[tex]3(3) - 4(7)=9-28=-19 \quad \checkmark[/tex]
