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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 35) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9+35}{2+9}[/tex] = [tex]\frac{44}{11}[/tex] = 4, thus
y = 4x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (2, 9), then
9 = 8 + c ⇒ c = 9 - 8 = 1
y = 4x + 1 ← equation of line
