Respuesta :
Answer:
d
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, 5) and (x₂, y₂ ) = (- 2, 14)
m = [tex]\frac{14-5}{-2-1}[/tex] = [tex]\frac{9}{-3}[/tex] = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 5), then
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = - 3x + 8 → d
Answer:
D. Y=-3x+8
Step-by-step explanation:
SLOPE FORMULA:
y₂-y₁/x₂-x₁=rise/run
SLOPE-INTERCEPT FORM:
Y=MX+B
m represents the slope.
b represents the y-intercept.
y₂=14
y₁=5
x₂=(-2)
x₁=1
14-5/(-2)-1
14-5 (Solve.)
14-5=9
(-2)-1=(-3)
9/-3=(-3)
The slope is (-3).
The y-intercept is 8.
y=-3x+8
As a result, the final answer is (D.) y=-3x+8.
