Answer:
b
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 ) = (- 1, 2) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-2}{3+1}[/tex] = - [tex]\frac{1}{4}[/tex], thus
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = [tex]\frac{1}{4}[/tex] + c ⇒ c = 2 - [tex]\frac{1}{4}[/tex] = [tex]\frac{7}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← in point- slope form
Multiply through by 4
4y = - x + 7 ( add x to both sides )
x + 4y = 7 → b
