Answer:
y=(4/3)x - 3
Step-by-step explanation:
Use equation (y-y1) =m (x-x1)
slope is m= (y1-y2)/(x1-x2)=1+3/3-0=4/3
use one of the points and this slope to complete the equation
(y-1)=(4/3)(x-3) distribute and add1 to both sides
y=(4/3)x-(3*4/3)+1
y=(4/3)x - 3
Answer:
y = [tex]\frac{4}{3}[/tex] x - 3
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-1}{0-3}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = [tex]\frac{4}{3}[/tex] x - 3 ← equation of line
