Question

1. write an equation for the line that passes through the given point and has the given slope: (0, 6) slope -2

Explanation:

Step1: Identify slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Plug in given slope

The given slope $m = -2$, so substitute into the formula:
$y = -2x + b$

Step3: Find y-intercept $b$

The line passes through $(0, 6)$, which is the y-intercept (since $x=0$ here), so $b = 6$. Substitute $b$ into the equation:
$y = -2x + 6$

Answer:

$y = -2x + 6$