courtneern
courtneern courtneern
  • 01-07-2019
  • Mathematics
contestada

A line intersects the points (0,-4)and (1,2). What is the slope-intercept equation for this line?

Respuesta :

jimrgrant1 jimrgrant1
  • 01-07-2019

Answer:

y = 6x - 4

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 ) = (0, - 4) and (x₂, y₂ ) = (1, 2)

m = [tex]\frac{2+4}{1-0}[/tex] = 6

note the line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 6x - 4 ← in slope- intercept form

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