sarahalexa19
sarahalexa19 sarahalexa19
  • 22-02-2019
  • Mathematics
contestada

write an equation in point slope form for the given line

write an equation in point slope form for the given line class=

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gmany
gmany gmany
  • 23-02-2019

Answer:

[tex]\large\boxed{y-4=-\dfrac{1}{2}(x-1)}[/tex]

Step-by-step explanation:

Look at the picture.

The formula of a slope:

The point-slope form of an equation of a linear function:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (1, 4) and (-3, 6). Substitute:

[tex]m=\dfrac{6-4}{-3-1}=\dfrac{2}{-4}=-\dfrac{1}{2}\\\\y-4=-\dfrac{1}{2}(x-1)[/tex]

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