Answer:
y =  x +
 x + 
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 )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m =  =
 =  , hence
, hence
y =  x + c ← is the partial equation
 x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 =  + c ⇒ c = 7 -
 + c ⇒ c = 7 -  =
 = 
y =  x +
 x +  ← equation in slope-intercept form
 ← equation in slope-intercept form