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Mekhanik [1.2K]
3 years ago
15

Write the equation of the line that passes through the points

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

y+5=2(x-3) or y+9=2(x-1)

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

m=\frac{-9+5}{1-3}

m=\frac{-4}{-2}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

Analyze two cases

<em>First case</em>

we have

m=2

point\ (3,-5)

substitute

y+5=2(x-3)

<em>Second case</em>

we have

m=2

point\ (1,-9)

substitute

y+9=2(x-1)

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

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