Answer:
equation 1st lies in 1st quadrant 5 = x and y= 2
as well as second one is lie on 4th quadrant
Answer:
y = 2x - 8
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 ) = (5, 2) and (x₂, y₂ ) = (2, - 4)
m = [tex]\frac{-4-2}{2-5}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (5, 2 ), then
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = 2x - 8 ← equation of line
