Respuesta :

Answer:

slope = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 10) and (x₂, y₂ ) = (2, 1)

m = [tex]\frac{1-10}{2-4}[/tex] = [tex]\frac{-9}{-2}[/tex] = [tex]\frac{9}{2}[/tex]

The slope of the line is -[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

Given:

Two points are (4,10) and (2,1)

To find:

The slope of the line passes though the points

Formula to be used:

Let "m" be the slope of the points ([tex]x_{1} y_{1}[/tex],) and ([tex]x_{2} y_{2}[/tex]) respectively,

We all be aware of the slope formula that,

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

Now,

The slope m = [tex]\frac{1-10}{2-4}[/tex]

= [tex]\frac{-9}{-2}[/tex] = [tex]\frac{9}{2}[/tex]

Thus the slope obtained is [tex]\frac{9}{2}[/tex]