a line with a slope of 2 passes through (k,3) and (6,k) on the coordinate grid. what is the value of k?
1 answer:
Answer:
k = 5
Step-by-step explanation:
Calculate the slope m and then equate to 2
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (k, 3) and (x₂, y₂ ) = (6, k)
m = = 2 ( cross- multiply )
2(6 - k) = k - 3
12 - 2k = k - 3 ( subtract k from both sides )
12 - 3k = - 3 ( subtract 12 from both sides )
- 3k = - 15 ( divide both sides by - 3 )
k = 5
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