1kingpoof
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the slope of the line below is -4 write a point-slope equation of the line using the coordinates of the labeled point

the slope of the line below is 4 write a pointslope equation of the line using the coordinates of the labeled point class=

Respuesta :

thatandroidniba

Answer:

y+9=-4(x-4)

Step-by-step explanation:

Point-slope is the equation y-y1=m(x-x1), where y1 is your y-coordinate and x1 is your x-coordinate.

carlos2112

Answer:

[tex]y+9=-4(x-4)[/tex]

Step-by-step explanation:

Linear equations can take various forms, such as:

  • Point–slope form
  • Two-point form
  • Slope–intercept form
  • Intercept form
  • Standard form

The point-slope form of a linear equation is written as:

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

Where:

[tex]m=Slope\\x_1,y_1=Coordinates\hspace{3}of\hspace{3} any\hspace{3} point\hspace{3} of \hspace{3}the\hspace{3} line[/tex]

So, according to the data provided:

[tex]m=-4\\x_1=4\\y_1=-9[/tex]

Replacing the data into the point-slope equation:

[tex]y-y_1=m(x-x_1)\\\\y-(-9)=-4(x-4)\\\\y+9=-4(x-4)[/tex]

Therefore, the equation for the graph shown is:

[tex]y+9=-4(x-4)[/tex]

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