Question

u5:04: unit 5 test
determine the equation of the line with slope 5 that passes through the point $m(1, 2)$.
$y = 5x + 7$
$y = -5x + 3$
$y = 5x - 3$
$y = -5x - 3$

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $m=5$, $x_1=1$, $y_1=2$.
$y - 2 = 5(x - 1)$

Step2: Simplify to slope-intercept form

Expand and isolate $y$.
$y - 2 = 5x - 5$
$y = 5x - 5 + 2$
$y = 5x - 3$

Answer:

C. $y = 5x - 3$