Respuesta :
Answer:
y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{9}{2}[/tex]
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 ) = (2, - 2) and (x₂, y₂ ) = (- 2, - 7)
m = [tex]\frac{-7+2}{-2-2}[/tex] = [tex]\frac{-5}{-4}[/tex] = [tex]\frac{5}{4}[/tex] , thus
y = [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 2) , then
- 2 = [tex]\frac{5}{2}[/tex] + c ⇒ c = - 2 - [tex]\frac{5}{2}[/tex] = - [tex]\frac{9}{2}[/tex]
y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line
