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lines from point/slope (diagonal only) score: 2/3 penalty: 1 off questi…

Question

lines from point/slope (diagonal only)
score: 2/3 penalty: 1 off
question
what is the equation of the line that passes through the point (5, 4) and has a slope of 2?
answer attempt 2 out of 4.
y = 22x - 106
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Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $m=2$, $x_1=5$, $y_1=4$.
$y - 4 = 2(x - 5)$

Step2: Expand and simplify

Distribute the slope and isolate $y$.
$y - 4 = 2x - 10$
$y = 2x - 10 + 4$

Answer:

$y = 2x - 6$