Answer:
y= 11
Step-by-step explanation:
[tex]\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Substituting the coordinates and value of slope:
[tex] \frac{y - ( - 3)}{3 - ( - 4)} = 2[/tex]
[tex] \frac{y + 3}{3 + 4} = 2[/tex]
[tex] \frac{y + 3}{7} = 2[/tex]
Multiply both sides by 7:
y +3= 2(7)
y +3= 14
Subtract 3 from both sides:
y= 14 -3
y= 11
