Answer:
y = [tex]\frac{2}{3}[/tex] x - 1
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, - 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1+3}{3+3}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] , then
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 1 ) , then
1 = 2 + c ⇒ c = 1 - 2 = - 1
y = [tex]\frac{2}{3}[/tex] x - 1 ← equation of line
