Pls help how do tou dot his
2 answers:
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Answer:
k = -3 or 5
Step-by-step explanation:
The given parameters are;
The line extends from points (-1, 1) to point (2, k)
The length of the line = 5 units
The formula for the length, l, of a line given its coordinates can be found by the following formula;
Therefore, we have;
Which, by squaring both sides, gives;
25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²
25 = (k - 1)² + 3² = k² - 2·k + 1 + 9
25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15
0 = k² - 2·k - 15
0 = (k +3) × (k - 5)
Therefore, k = -3 or 5
When k - -3, we have;
When k = 5, we have;
We can solve for x or solve for y,
for x
y+6=5x
divide both sides by 5
=x
for y
y+6=5x
minus 6 from both sides
y=5x-6
for x
y+6=5x
divide both sides by 5
for y
y+6=5x
minus 6 from both sides
y=5x-6