Answer:
y = 2x + 7
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 ) = (- 5, - 3 ) and (x₂, y₂ ) = (1, 9 )
m = [tex]\frac{9-(-3)}{1-(-5)}[/tex] = [tex]\frac{9+3}{1+5}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 9 ) , then
9 = 2 + c ⇒ c = 9 - 2 = 7
y = 2x + 7 ← equation of line
