Respuesta :
x-intercept (- 18, 0 ), y-intercept(0, - 6 )
Find the equation of the line in slope-intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 15, - 1 ) and (x₂, y₂ ) = (- 3, - 5 )
m = [tex]\frac{-5+1}{-3+15}[/tex] = [tex]\frac{-4}{12}[/tex] = - [tex]\frac{1}{3}[/tex]
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 3, - 5 ) into the partial equation
- 5 = 1 + c ⇒ c = - 6
y = -[tex]\frac{1}{3}[/tex] x - 6 ← equation in slope-intercept form
with y- intercept = - 6 ⇒ (0, - 6)
to find the x-intercept let y = 0, in the equation and solve for x
y = 0 : - [tex]\frac{1}{3}[/tex] x - 6 = 0 ⇒ x = - 18
hence x-intercept = - 18 ⇒ (- 18, 0 )
