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lions [1.4K]
3 years ago
9

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

Mathematics
2 answers:
Alik [6]3 years ago
8 0

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.

Lady bird [3.3K]3 years ago
6 0

Answer:

y+9=-4(x-4)

Step-by-step explanation:

Linear equations can take various forms, such as:

  • <em>Point–slope form</em>
  • <em>Two-point form</em>
  • <em>Slope–intercept form</em>
  • <em>Intercept form</em>
  • <em>Standard form</em>

<em></em>

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

y-y_1=m(x-x_1)

Where:

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

So, according to the data provided:

m=-4\\x_1=4\\y_1=-9

Replacing the data into the point-slope equation:

y-y_1=m(x-x_1)\\\\y-(-9)=-4(x-4)\\\\y+9=-4(x-4)

Therefore, the equation for the graph shown is:

y+9=-4(x-4)

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