Question

Find the equation of the line shown.

Answer 1

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x+2}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

$m$ - slope

$b$ - y-intercept (0, b)

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$(x_1;\ y_1);\ (x_2;\ y_)$ - points on the line

From the graph we have two points (look at the picture)

$(4;\ 1)$ and $(0; 2)\to b=2$

Calculate the slope:

$m=\dfrac{2-1}{0-4}=\dfrac{1}{-4}=-\dfrac{1}{4}$

Put the values of $m$ and $b$ to the equation of a line:

[tex]y=-\dfrac{1}{4}x+2[tex]