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]