Respuesta :
Answer:
y = 2x + 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 5)
m = [tex]\frac{5-3}{2-1}[/tex] = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5), then
5 = 4 + c ⇒ c = 5 - 4 = 1
y = 2x + 1 ← equation of line
