Question

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

Answer 1

The slope of given line is -5/3

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,

`5x+3y = 45\\3y = -5x+45`

Dividing both sides by 3

`(3y)/(3) = (-5)/(3)x+(45)/(3)\\y = -(5)/(3)x+15`

The slope-intercept form is given by:

`y = mx+b`

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