which is the slope of the line shown? )

Answer:
slope = [tex]\frac{9}{7}[/tex]
Step-by-step explanation:
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (1,6) ← 2 points on the line
m = [tex]\frac{6+3}{1+6}[/tex] = [tex]\frac{9}{7}[/tex]