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Anna007 [38]
3 years ago
13

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=87(x+4) y+4=98(x+1)

y−1=89(x−4) y+1=89(x+4)
Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0
ANSWER

The equation in point-slope form is
y  +  1 =  \frac{8}{9} (x  + 4).


EXPLANATION

The equation of a line in point slope form is given by,


y-y_1=m(x-x_1)

where
m
is the slope and
(x_1,y_1)
is any given point on the line.


Let us now find the slope using the point,

(-4,-1) \: and \: (5,7)


We apply the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

This implies that,

m =  \frac{7 -  - 1}{5 -  - 4}


m =  \frac{7  + 1}{5  + 4}


m =  \frac{8}{9}


The equation is now given by,

y -  - 1 =  \frac{8}{9} (x -  - 4)

Or

y  +  1 =  \frac{8}{9} (x  + 4)


The correct answer is D
Vitek1552 [10]3 years ago
6 0
I think its 4+(-98=y)
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