What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (3,9)

Answer:
y=-3x
Step-by-step explanation:
we know that the equation of the line is:
y=mx+b
m= slope= (y2-y1)/(x2-x1)
we have two points giver from the graph:
point 1: (0,0)
point 2: (3,-9)
we to find the slope:
m=(-9-0)/(3-0)
m=-3/3
m=-3
we need to find "b"
using the point (0,0)
we have
0=0x+b
so we have b=0
finally we have
y=-3x+0
y =-3x
Answer:
B
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, 0) and (x₂, y₂ ) = (3, - 9) ← 2 points on the line
m = [tex]\frac{-9-0}{3-0}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3
Since the line passes through the origin then c = 0
y = - 3x + 0, which is simply
y = - 3x → B