Question

use the given conditions to write an equation for the line in slope-intercept form. slope = -2, passing through (2, 4) \\(\bigcirc\\) \\(y - 4 = x - 2\\) \\(\bigcirc\\) \\(y = -2x + 8\\) \\(\bigcirc\\) \\(y - 4 = -2x - 2\\) \\(\bigcirc\\) \\(y = -2x - 8\\)

Explanation:

Step1: Recall point-slope form

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

Step2: Substitute values into formula

$y - 4 = -2(x - 2)$

Step3: Simplify to slope-intercept form

Expand and isolate $y$:
$y - 4 = -2x + 4$
$y = -2x + 4 + 4$
$y = -2x + 8$

Answer:

B. $y = -2x + 8$