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 $4$

$y = \frac{3}{4}x - \frac{6}{4}$

Simplify

$y = \frac{3}{4}x - \frac{3}{2}$

The $m$ in the equation is the slope, and $m= \frac{3}{4}$.

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! :)