Answer
$y=-\frac{3}{7}x+\frac{47}{7}$
Work Step by Step
The point-slope form of a line is given as:
$$y-y_1=m(x-x_1)$$
We plug in the given point and slope and solve for $y$:
$$y-5=-\frac{3}{7}(x-4)\Longrightarrow y=-\frac{3}{7}x+\frac{12}{7}+5=-\frac{3}{7}x+\frac{47}{7}
.$$
