Triangle PSV is shown on the coordinate grid.
The coordinates of each vertex of the triangle are integers.
What is the slope of PV?

Triangle PSV is shown on the coordinate grid The coordinates of each vertex of the triangle are integers What is the slope of PV class=

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Answer:

The slope of PV is -4. i.e. [tex]m=-4[/tex]

Step-by-step explanation:

Considering the triangle PSV as shown on coordinate grid

From the coordinate grid, it is clear that:

  • The coordinates of P vertex is (2, 4)
  • The coordinates of V vertex is (3, 0)

The slope of PV can be used using the slope formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:4\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)[/tex]

[tex]m=\frac{0-4}{3-2}[/tex]

[tex]m=-4[/tex]

Therefore, the slope of PV is -4. i.e. [tex]m=-4[/tex]

Keywords: slope, coordinate grid

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Slope of line PV in Δ PSV is -4 .

As shown in figure Δ PSV on the coordinate grid.

The vertices of each coordinate of Δ PSV are given

Coordinates of P ( 2,4)

Coordinates of S ( 3,4)

Coordinates of V ( 3,0)

We have to determine the slope of line PV[tex]\rm The \; slope\; of \; line\; joining\; points \; (x_1,y_1) \; and \; (x_2, y_2) \\can \; be \; determined \; as \; formulated\; in\; equation \; (1) \\m = (y_2 -y_1) /(x_2- x_1) .....(1) \\m = slope \; of \; the \; line[/tex]

From equation (1) we can write

[tex]\rm Slope\; of \; PV = (0-4) /(3-2) =\bold { -4 }[/tex]

So we can conclude that slope of line PV in Δ PSV is -4

For more information please refer to the link given below

https://brainly.com/question/14914699