A line passes through the points (1, –6) and (4, 3). What is the y-intercept of this line?–9–339
Accepted Solution
A:
Answer:y = - 9Step-by-step explanation:The equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y- intercept )Calculate m using the slope formulam = (y₂ - y₁ ) / (x₂ - x₁ ) with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)m = [tex]\frac{3+6}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3y = 3x + c ← is the partial equationTo find c substitute any of the 2 points into the partial equationUsing (4, 3), then3 = 12 + c ⇒ c = 3 - 12 = - 9, hencey- intercept c = - 9 ⇒ (0, - 9 )