Answer:
slope = 1
y-intercept = 6
Equation: y = x+6
Step-by-step explanation
The coordinates of A and F are (2, 8) and (-2, 4) respectively
A =(2, 8), F = (-2, 4)
Get the slope
Slope m = y2-y1/x2-x1
Slope m = 4-8/-2-2
Slope m = -4/-4
Slope m = 1
Get the y intercept;
Substituting the coordinate A(2, 8) and m = 1 into y = mx+b to get b;
8 = 1(2) + b
8 = 2 + b
b = 8 - 2
b = 6
Hence y - intercepr b is 6
Get the equation;
Recall that y = mx + b where;
m = 1
b = 6
Substitute;
y = 1x + 6
y = x+6
Hence the required equation is y = x + 6