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8. What is the SLOPE of this line? *
1/2
5x+3y = 45


Sagot :

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