Question

find the equation of this line. y = - \frac{?}{?}x +

Explanation:

Step1: Find the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. The line passes through $(0,1)$ and $(4,0)$. So $m=\frac{0 - 1}{4-0}=-\frac{1}{4}$.

Step2: Find the y - intercept

The equation of a line is $y = mx + b$, where $b$ is the y - intercept. From the graph, the line intersects the y - axis at the point $(0,1)$, so $b = 1$.

Answer:

$y=-\frac{1}{4}x + 1$