Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = [tex]\frac{1-(-3)}{2-0}[/tex] = [tex]\frac{1+3}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = 2x - 3 ← equation of line
