Answer:
slope m = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
• y = mx + c ( m is the slope and c the y- intercept )
given
3x - 4y = 10 ( subtract 3x from both sides )
- 4y = - 3x + 10 ( divide through by - 4 )
[tex]\frac{-4}{-4}[/tex] y = [tex]\frac{-3}{-4}[/tex] x + [tex]\frac{10}{-4}[/tex] , that is
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]