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