Answer:
The value of y is 14
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
[tex](-2, y)\ and\ (4, 6)[/tex]
[tex]m=-\frac{4}{3}[/tex]
substitute in the formula the given values
[tex]-\frac{4}{3}=\frac{6-y}{4+2}[/tex]
solve for y
[tex]-\frac{4}{3}=\frac{6-y}{6}[/tex]
Multiply by 6 both sides
[tex]-8=6-y[/tex]
[tex]y=6+8=14[/tex]
