Question

Find the slope of the line whose equation is 4y - 3x + 6 = 0.

A .-3/4
B. -3/2
C. 3/4

Answer 1

Find the slope of the line whose equation is
`4y - 3x + 6 = 0`

First, get the equation into slope-intercept form, which is
`y=mx+b`.

Here's the math:

Subtract
`6` from both sides


`4y - 3x = -6`

Add
`3x` to both sides


`4y = 3x -6`

Divide both sides by
`4`


`y = (3)/(4)x - (6)/(4)`

Simplify


`y = (3)/(4)x - (3)/(2)`

The
`m` in the equation is the slope, and
`m= (3)/(4)`.

So, the answer is: C. 3/4. Hope this helps!

Answer 2

The slope-intercept form is y=mx+b so this what you do.
4y - 3x + 6 = 0
Add 3x and subtract 6 to both sides.
4y = 3x - 6
Divide the right side by 4.
y = 3/4x - 3/2
So the slope is 3/4.
I hope this helps love! :)