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Setler [38]
2 years ago
14

Point-slope form of an equation of the line through the points (-1, 4) and (-2, 2). ​

Mathematics
2 answers:
Bess [88]2 years ago
7 0

The point-slope form equation of a  line is: y − y1 = m(x − x1)

First find the slope which is the change in y over the change in x:

Slope = 2-4 / -2 - -1 = 2-4 / -2+1 = -2/-1 = 2

In the point-slope equation:

M = slope = 3

y1 = 4

x1 = -1

Replace the letters with their values to get:

y -4 = 2(x- -1)

Simplify:

Point-slope form: y-4 = 2(x+1)

LenKa [72]2 years ago
4 0

Answer:

<h2>y - 4 = 2(x + 1)</h2>

or

<h2>y - 2 = 2(x + 2)</h2>

Step-by-step explanation:

The point-slope of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

The formula of a slope:

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

We have the points (-1, 4) and (-2, 2).

Substitute:

m=\dfrac{2-4}{-2-(-1)}=\dfrac{-2}{-1}=2

for the point (-1, 4):

y-4=2(x-(-1))\\\\y-4=2(x+1)

for the point (-2, 2):

y-2=2(x-(-2))\\\\y-2=2(x+2)

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