Answer:
y = 5x - 1
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 ) = (1, 4) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9-4}{2-1}[/tex] = [tex]\frac{5}{1}[/tex] = 5 , then
y = 5x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (3, 14 ) , then
14 = 15 + c ⇒ c = 14 - 15 = - 1
y = 5x - 1 ← equation of line
