Answer:
y =
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
y =
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 -
= 
y =
x +
← equation in slope-intercept form