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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