IDNLearn.com makes it easy to find accurate answers to your questions. Get accurate and timely answers to your queries from our extensive network of experienced professionals.
Sagot :
Answer:
k = 12
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 ) = (2, 4) and (x₂, y₂ ) = (8, 20)
m = [tex]\frac{20-4}{8-2}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]
Repeat using (5, k) as one of the points and equate to [tex]\frac{8}{3}[/tex]
(x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, k) , then
m = [tex]\frac{k-4}{5-2}[/tex] = [tex]\frac{k-4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )
3(k - 4) = 24 ( divide both sides by 3 )
k - 4 = 8 ( add 4 to both sides )
k = 12
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.
