Answer:
y = - 2x + 16
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 ) = (7, 2) and (x₂, y₂ ) = (2, 12)
m = [tex]\frac{12-2}{2-7}[/tex] = [tex]\frac{10}{-5}[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 12 )
12 = - 4 + c ⇒ c = 12 + 4 = 16
y = - 2x + 16 ← equation of line
