Answer:
m = 5
Step-by-step explanation:
Since the points are collinear, they all lie on the same line and have the same slope between them.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)
m = [tex]\frac{6-3}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
Now calculate the slope using 2 other points and equate to 3
(x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (m, 12)
m = [tex]\frac{12-6}{m-3}[/tex] = [tex]\frac{6}{m-3}[/tex] = 3 ( multiply both sides by m - 3 )
6 = 3(m - 3) ← divide both sides by 3
2 = m - 3 ( add 3 to both sides )
5 = m
