Question

1. what is the equation for the line in slope-intercept form?

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 5)$, so $b=5$.

Step2: Calculate slope

Use two points, e.g., $(0,5)$ and $(2,-7)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-7-5}{2-0}=\frac{-12}{2}=-6$

Step3: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=-6$ and $b=5$.

Answer:

$y=-6x+5$