Respuesta :

Answer:

slope = [tex]\frac{2}{3}[/tex]

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 ) = (15, 18 ) and (x₂, y₂ ) = (6, 12 )

m = [tex]\frac{12-18}{6-15}[/tex] = [tex]\frac{-6}{-9}[/tex] = [tex]\frac{2}{3}[/tex]

peachimin

Remember, when finding the slope, use this formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

We can start by labeling (15, 18) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex] and (6, 12) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now, we can plug these number into the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{12-18}{6-15}=\frac{-6}{-9} =\frac{2}{3}[/tex]

Thus, the slope of the line is [tex]\frac{2}{3}[/tex]. Hope this helps! Let me know if you have any questions related to this problem.

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