Answer:
![\boxed {\boxed {\sf m= -(5)/(3)}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/xh1jx37oz3dlc9qgskvojvs7spcdf20bnr.png)
Explanation:
First, identify the slope of the line given.
![y= -(5)/(3)x+5](https://img.qammunity.org/2022/formulas/mathematics/high-school/igsg1z5okz2f5c97plb612r29pxuew38tv.png)
This line is in slope-intercept form or y=mx+b where m is the slope and b is the y-intercept. The number being multiplied by x is the slope. The number being added or subtracted is the y-intercept.
-5/3 is the coefficient to x (-5/3 and x are being multiplied). So, the slope must be -5/3.
Next, remember that parallel lines have equal slopes. If the line is parallel to y= -5/3x+5, the slope must also be -5/3.