Answer:
[tex]slope = m =\frac{-3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is.
[tex]y = mx + b[/tex]----->(eq 1)
∴ m is slope
[tex]3x + 4y = 10[/tex]
subtract 3x from both sides.
[tex]3x - 3x + 4y = -3x + 10[/tex]
[tex]4y = -3x + 10[/tex]
divide 4 on both sides
[tex]\frac{4y}{4} = \frac{-3x + 10}{4}[/tex]
[tex]y = \frac{-3x}{4} + \frac{10}{4}[/tex]
[tex]y = \frac{-3}{4}x + \frac{10}{4}[/tex] ----->(eq 2)
By comparing (eq 1) and (eq 2)
[tex]slope = m =\frac{-3}{4}[/tex]
