Answer:
[tex]\boxed {\boxed {\sf m= -\frac{5}{3}}}[/tex]
Step-by-step explanation:
First, identify the slope of the line given.
[tex]y= -\frac{5}{3}x+5[/tex]
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.
