3x + 4y=1
y= mx+b ( slope-intercept )
Move 3x to the other side
Sign changes from +3x to -3x
3x-3x+4y= -3x+1
4y= -3x+1
divide both sides by 4
4y/4= y
-3/4x+1/4
y= -3/4x+1/4
y=mx + b
slope is also m
b is the y-intercept
Answer: slope= -3/4
[tex]\huge\boxed{-\frac{3}{4}}[/tex]
This line is in standard form, or [tex]ax+by=c[/tex]. To find the slope of a line in standard form, simply find [tex]-\frac{a}{b}[/tex].
Substitute in the values. [tex]\boxed{-\frac{3}{4}}[/tex]
