Respuesta :
Answer:
-1
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
(2, -1) and (-3, 4)
4+1/-3-2=
=5/-5=-1
The slope is -1. The line is slanted down from left to right.
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Answer:
y = - x + 1
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, - 1 ) and (x₂, y₂ ) = (- 3, 4 )
m = [tex]\frac{4-(-1)}{-3-2}[/tex] = [tex]\frac{4+1}{-5}[/tex] = [tex]\frac{5}{-5}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 3, 4 )
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - x + 1 ← equation of line
