Find the slope of the line whose equation is [tex] 4y - 3x + 6 = 0[/tex]
First, get the equation into slope-intercept form, which is [tex]y=mx+b[/tex].
Here's the math:
Subtract [tex]6[/tex] from both sides
[tex] 4y - 3x = -6[/tex]
Add [tex]3x[/tex] to both sides
[tex]4y = 3x -6[/tex]
Divide both sides by [tex]4[/tex]
[tex]y = \frac{3}{4}x - \frac{6}{4} [/tex]
Simplify
[tex]y = \frac{3}{4}x - \frac{3}{2} [/tex]
The [tex]m[/tex] in the equation is the slope, and [tex]m= \frac{3}{4}[/tex].
So, the answer is: C. 3/4. Hope this helps!
