animaljamissofab
animaljamissofab animaljamissofab
  • 11-11-2018
  • Mathematics
contestada

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 11-11-2018

slope = (y2-y1)/(x2-x1)

m =(-1-5)/(-3-4)

m =(-6)/(-7)

m=6/7

point slope form

y-y1 = m(x-x1)

y-5 = (6/7) (x-4)


Answer Link
gmany
gmany gmany
  • 11-11-2018

The slope-point form:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (4, 5) and (-3, -1). Substitute:

[tex]m=\dfrac{-1-5}{-3-4}=\dfrac{-6}{-7}=\dfrac{6}{7}[/tex]

For point (4, 5):

[tex]y-5=\dfrac{6}{7}(x-4)[/tex]

For point (-3, -1):

[tex]y-(-1)=\dfrac{6}{7}(x-(-3))\\\\y+1=\dfrac{6}{7}(x+3)[/tex]


Answer Link

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