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lions [1.4K]
2 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]2 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]2 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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Answer:

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Step-by-step explanation:

You can find the slope by taking two points on the graph, and making the one that occurs earlier in the graph (from left to right) the first point (x1, y1) and the one that occurs later in the graph the second point (x2, y2). The equation is m (or slope)=(y2-y1)/(x2-x1). I took the first two points in the table for this. m=(12-18)/-4-(-8)

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