Respuesta :

Nice!  Now, the slope of the line joining points (-1, 2) and (5, -4) is

[tex]m=\frac{-4-2}{5-(-1)}=\frac{-6}{6}=-1[/tex]

Look at each answer choice and pick out the one that has a slope of -1.

a. y = -x + 1 The coefficient of x is -1, so that's the answer you want.
b. y = -1/3x - 4 The coefficient of x is -1/3; the slope is -1/3.  Nope.

etc.

Answer:

y=-x+1

Step-by-step explanation:

find equation of a line parallel to the line that passes through the points (-1, 2) and (5, -4)

Equation of a line is y=mx+b

where m is the slope and b is the y intercept

[tex]m=\frac{y2-y1}{x2-x1} = \frac{-4-2}{5+1} = -1[/tex]

m= -1 ,  parallel line has same slope

to find out b we plug in (-1,2) in y=mx+b

2= -1(-1) +b

2=1+b

Subtract 1 from both sides

b= 1

So equation of line is y=-1x+1

y=-x+1

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