Answer:
slope m = - [tex]\frac{2}{5}[/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 the line with equation
2x + 5y = 10 ( subtract 2x from both sides )
5y = - 2x + 10 ( divide through by 5 )
[tex]\frac{5}{5}[/tex] y = [tex]\frac{-2}{5}[/tex] x + [tex]\frac{10}{5}[/tex] , that is
y = - [tex]\frac{2}{5}[/tex] x + 2 ← in slope- intercept form
with slope m = - [tex]\frac{2}{5}[/tex]