Respuesta :

Answer:

slope = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (10, 5 ) and (x₂, y₂ ) = (9, 10 )

m = [tex]\frac{10-5}{9-10}[/tex] = [tex]\frac{5}{-1}[/tex] = - 5

Answer:

[tex]\boxed{m=-5}[/tex]

Step-by-step explanation:

  • Start with Slope Formula

[tex]m=\frac{y^{2-y^{1} } }{x^{2-} ^{x^{1} } }[/tex]

  • Substitute point values in the formula

[tex]m=\frac{(10-5)}{(9-10)}[/tex]

  • Simplify each side of the equation

[tex]m=\frac{(10-5)}{(9-10)} =\frac{5}{-1}[/tex]

  • Solve for slope (m)

[tex]\boxed{m=-5}[/tex]

[tex]-TheAnimegirl-[/tex]

To find the slope of a line, start by finding 2 points along a line and find their x and y values. The value of x is the horizontal distance of the point from the vertical y-axis, and y is the vertical distance of the point from the horizontal x-axis.