Answer:
y = 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 ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )
m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (7, 8 ) , then
8 = 7 + c ⇒ c = 8 - 7 = 1
y = x + 1 ← equation of line
