contestada


Write the equation of the line that passes through the points
(
3
,
−
5
)
(3,−5) and
(
1
,
−
9
)
(1,−9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Respuesta :

calculista

Answer:

[tex]y+5=2(x-3)[/tex] or [tex]y+9=2(x-1)[/tex]

Step-by-step explanation:

step 1

Find the slope of the line

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

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have the ordered pairs

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

substitute the values

[tex]m=\frac{-9+5}{1-3}[/tex]

[tex]m=\frac{-4}{-2}[/tex]

[tex]m=2[/tex]

step 2

Find the equation in point slope form

[tex]y-y1=m(x-x1)[/tex]

Analyze two cases

First case

we have

[tex]m=2[/tex]

[tex]point\ (3,-5)[/tex]

substitute

[tex]y+5=2(x-3)[/tex]

Second case

we have

[tex]m=2[/tex]

[tex]point\ (1,-9)[/tex]

substitute

[tex]y+9=2(x-1)[/tex]

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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