Question

What is the slope of the line created by this equation?Round your answer out to two decimal places.3x+5y=7

Answer 1

The given equation is

`3x+5y=7`

Consider the slope-intercept form.

`y=mx+b`

Rewriting the given equation in the slope-intercept form.

`3x+5y=7`

Subtracting 3x from both sides, we get

`3x+5y-3x=7-3x`

Dividing both sides by 5, we get

`(5y)/(5)=(7-3x)/(5)`
`y=-(3)/(5)x+(7)/(5)`

`y=-0.6x+1.4`

Compared to the slope-intercept form, we get m=-0.6 and b=1.4.

Hence the slope m= -0.60.