Answer:
The answer to your question is a) y = x - 1 b) the point is not on the line
Step-by-step explanation:
Data
A ( -1, -2)
B (4, 3)
C ( 3, 1)
Process
1.- Find the slope of the line (m)
Formula
m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Substitution
m = [tex]\frac{3 + 2}{4 + 1} = \frac{5}{5} = 1[/tex]
2.- Find the equation of the line
Formula
y - y1 = m(x - x1)
Substitution
y + 2 = 1(x + 1)
Solve for y
y = x + 1 - 2
y = x - 1
- Prove that the point (3, 1) is on the line
1 = 3 - 1
1 = 2
The point is not on the line because 1 ≠ 2
