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write an equation of the line that passes through the given point and h…

Question

write an equation of the line that passes through the given point and has the given slope: (1,3); m = 5
y = 5x - 2
y = 5x + 2
y = 5x - 8
y = 5x + 8

Explanation:

Step1: Use point-slope form

$y - y_1 = m(x - x_1)$

Step2: Substitute given values

$y - 3 = 5(x - 1)$

Step3: Simplify to slope-intercept form

$y - 3 = 5x - 5$
$y = 5x - 5 + 3$
$y = 5x - 2$

Answer:

A. $y = 5x - 2$