Answer
$y=-\frac{7}{3}x-\frac{2}{3}$
Work Step by Step
The general slope-intercept form of a line is:
$y=mx+b$, where $m$ is the slope, and $(x,y)$ can be the coordinates of any point on the line.
Hence: $y+3=-\frac{7}{3}(x-1)\\y+3=-\frac{7}{3}x+\frac{7}{3}\\y=-\frac{7}{3}x+\frac{7}{3}-3\\y=-\frac{7}{3}x-\frac{2}{3}$
