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Answer:
The slope of given line is -5/3
Step-by-step explanation:
Given equation of line is:
5x+3y = 45
In order to find the slope of the given line, we have to convert the equation in slope-intercept form first
So,
[tex]5x+3y = 45\\3y = -5x+45[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{-5}{3}x+\frac{45}{3}\\y = -\frac{5}{3}x+15[/tex]
The slope-intercept form is given by:
[tex]y = mx+b[/tex]
Here m(co-efficient of x) is the slope of line
Comparing both equations, we get
m = -5/3
Hence,
The slope of given line is -5/3