Answer:
Slope (m) = -5
Step-by-step explanation:
*If all the given four points are on a straight line then; the slope derived from first two points should be equal to the slope derived from the next to points.
Let's verify this ...
For the first two points:
Slope (m) = change in y ÷ change in x = [tex]\frac{6 - 11}{14 - 13} = \frac{-5}{1} = -5[/tex]
For the next two points:
m = [tex]\frac{-4 - 1}{16 - 15} = -5[/tex]
*Proved ∴ points (13,11) , (14,6) , (15, 1) and (16,-4) are on the same line.
- We can find the equation of this line and ascertain that the four points are on a single line.
Taking another point (x,y) on the line and point (13,11);
m = [tex]\frac{y - 11}{x - 13} = -5[/tex]
y = -5x + 65 + 11
y = -5x + 76
- Let's graph this equation. (graph attached)
