Answer:
b
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 13)
m = [tex]\frac{13-1}{4-(-2)}[/tex] = [tex]\frac{12}{4+2}[/tex] = [tex]\frac{12}{6}[/tex] = 2
Using the point (- 2, 1 )
y - 1 = 2(x - (- 2)) , that is
y - 1 = 2(x + 2) → b
Using the point (4, 13)
y - 13 = 2(x - 4) ← not one of the options
