Question

write an equation for the line in slope-intercept form.
(use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Identify y-intercept (b)

The line crosses the y-axis at $(0,1)$, so $b=1$.

Step2: Calculate slope (m)

Pick two points, e.g., $(0,1)$ and $(5,0)$. Use slope formula:
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{5-0}=-\frac{1}{5}$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-\frac{1}{5}$ and $b=1$.

Answer:

$y=-\frac{1}{5}x+1$