Respuesta :
Answer:
7x - 4y = - 6
Step-by-step explanation:
Obtain the equation in slope- intercept form
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 ) = (2,5) and (x₂, y₂ ) = (- 2, - 2)
m = [tex]\frac{-2-5}{-2-2}[/tex] = [tex]\frac{-7}{-4}[/tex] = [tex]\frac{7}{4}[/tex], thus
y = [tex]\frac{7}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5), then
5 = [tex]\frac{7}{2}[/tex] + c ⇒ c = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{7}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ← in point- slope form
Multiply through by 4
4y = 7x + 6 ( subtract 4y from both sides )
0 = 7x - 4y + 6 ( subtract 6 from both sides )
- 6 = 7x - 4y, that is
7x - 4y = - 6 ← in standard form
