Answer:
The slope of the line given by the equation -3x=30-5y is [tex]\frac{3}{5}[/tex].
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.
[tex]\frac{5y}{5} = \frac{30+3x}{5}[/tex]
You get:
y= [tex]\frac{3}{5} x +6[/tex]
According to y=mx+b, mx refers to the slope.
In this case, the slope would be [tex]\frac{3}{5}[/tex].
