Answer:
y = - 9
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, - 6) and (x₂, y₂ ) = (4, 3)
m = [tex]\frac{3+6}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
y = 3x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (4, 3), then
3 = 12 + c ⇒ c = 3 - 12 = - 9, hence
y- intercept c = - 9 ⇒ (0, - 9 )
Answer:
=-9 (the first choice)
Step-by-step explanation:
To find the y-intercept we must first find the equation of the line in the form y=mx + c where m is the gradient and c is the y- intercept.
m=Δy/Δx
=(3--6)/(4-1)
=9/3
=3
Let us write the equation using any of the given points, say (4,3)
(y-3)/(x-4)=3
y-3=3(x-4)
y-3=3x-12
y=3x-12+3
y=3x-9
Using the format y=mx+c, the y-intercept is -9
