Answer:
y = - 4x + 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 )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (2, - 7) ← 2 points from the table
m = [tex]\frac{-7+3}{2-1}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, - 3), then
- 3 = - 4 + c ⇒ c = - 3 + 4 = 1
y = - 4x + 1 ← equation in slope- intercept form
